I generally understand how metering works in cameras broadly speaking, the system's aim for middle gray, etc., and the particular of how it is supposed to work Nikon cameras specifically. I have nevertheless found myself confused as to how my Z8 is metering a lot of the time.
Note that all examples here are using matrix metering with the b4 matrix metering face detection turned on. I have experimented with b4 turned off, as well as with center weighted and spot metering and while they obviously work a bit differently, the general theme is consistent.
For example, from a few weeks ago there is this shot:

You'll notice in the EXIF that this was shot at +2/3 exposure compensation. That is because during this shoot I noticed that it was consistently underexposing by 2/3 to 4/3 stops and I set the EC to mitigate. This photo I post with the exposure slider down 2/3 so we can roughly see how the camera actually metered it.
My first thought when I see something like this is that the bright sky in the background is responsible, so let's examine a shot where that is not really a major factor:

This is also metering around 2/3 of a stop darker than I'd think that it ought to be. Another, this time with no very bright areas in the background:

This one is still bit too dark but is nevertheless better than the first two except that it really is not the way the scene looked. It was to the eye much brighter, more like this:

In fact, all of the shots above looked that way to the naked eye. (By the way, all three of the above were lit by facing a very large, unobstructed, bright overcast sky.
Of course, the way the human eye sees things is not the same way that the camera sees things. Yet the following shots, taken quickly just to provide examples for this post, were in very similar lighting yet metered to almost perfectly match what the naked eye saw:




Obviously these are only six examples, but the bottom line is this: in the year and a half of owning the Z8 and after taking almost 300,000 shots with it, I've had to boost exposure by between 1/2 to a full stop over the way it metered in the vast, vast majority of photos I've taken, across every imaginable combination of colors, shadings, and brightnesses in the foreground, they background, etc. What's the reason for this?
One more somewhat odd thing I've noticed while trying to experiment with the metering: the camera often seems to meter a brighter for narrower apertures than for wider ones. For instance, consider the following two shots taken right back to back in constant lighting:




The shot of the thing in the window may be more difficult to spot the difference in, but it's a lot clearly when you click back and forth between them. The one on the couch is easier to see the difference with, but regardless I have a lot of examples in all sorts of different types of lighting with the same phenomenon.
An interesting thing about these is that if you look at the settings, things actually make sense. In both cases, when the aperture is closed down by 4/3 of a stop the auto-ISO boosted by about 4/3 of a stop - BUT the f2.8 shot is brighter. I have quite a few back-to-back shots of all sorts of different things where the same thing happens moving from f1.8 to f2.8.
Now perhaps part of what is going on is that this lens is more relatively efficient at transmitting light at f2.8 than at f1.8. That would sort of explain things IF were were just talking about someone shooting in full manual and making a four-click adjustment to ISO for a 4 click change in aperture. In that case, if the lens were a bit more efficient at f2.8 then sure, the shot might look brighter.
However in this case it is the camera's metering making the choice of ISO, so it is not just looking at the change in aperture and changing the ISO by the equivalent amount: it is freshly metering the scene in both cases and judging that the exact same scene should be slightly brighter when at f2.8. With auto while balance on, it also consistently chooses a somewhat cooler temperature for the f2.8 shots than the f1.8 shots.
Note that all examples here are using matrix metering with the b4 matrix metering face detection turned on. I have experimented with b4 turned off, as well as with center weighted and spot metering and while they obviously work a bit differently, the general theme is consistent.
For example, from a few weeks ago there is this shot:

You'll notice in the EXIF that this was shot at +2/3 exposure compensation. That is because during this shoot I noticed that it was consistently underexposing by 2/3 to 4/3 stops and I set the EC to mitigate. This photo I post with the exposure slider down 2/3 so we can roughly see how the camera actually metered it.
My first thought when I see something like this is that the bright sky in the background is responsible, so let's examine a shot where that is not really a major factor:

This is also metering around 2/3 of a stop darker than I'd think that it ought to be. Another, this time with no very bright areas in the background:

This one is still bit too dark but is nevertheless better than the first two except that it really is not the way the scene looked. It was to the eye much brighter, more like this:

In fact, all of the shots above looked that way to the naked eye. (By the way, all three of the above were lit by facing a very large, unobstructed, bright overcast sky.
Of course, the way the human eye sees things is not the same way that the camera sees things. Yet the following shots, taken quickly just to provide examples for this post, were in very similar lighting yet metered to almost perfectly match what the naked eye saw:




Obviously these are only six examples, but the bottom line is this: in the year and a half of owning the Z8 and after taking almost 300,000 shots with it, I've had to boost exposure by between 1/2 to a full stop over the way it metered in the vast, vast majority of photos I've taken, across every imaginable combination of colors, shadings, and brightnesses in the foreground, they background, etc. What's the reason for this?
One more somewhat odd thing I've noticed while trying to experiment with the metering: the camera often seems to meter a brighter for narrower apertures than for wider ones. For instance, consider the following two shots taken right back to back in constant lighting:




The shot of the thing in the window may be more difficult to spot the difference in, but it's a lot clearly when you click back and forth between them. The one on the couch is easier to see the difference with, but regardless I have a lot of examples in all sorts of different types of lighting with the same phenomenon.
An interesting thing about these is that if you look at the settings, things actually make sense. In both cases, when the aperture is closed down by 4/3 of a stop the auto-ISO boosted by about 4/3 of a stop - BUT the f2.8 shot is brighter. I have quite a few back-to-back shots of all sorts of different things where the same thing happens moving from f1.8 to f2.8.
Now perhaps part of what is going on is that this lens is more relatively efficient at transmitting light at f2.8 than at f1.8. That would sort of explain things IF were were just talking about someone shooting in full manual and making a four-click adjustment to ISO for a 4 click change in aperture. In that case, if the lens were a bit more efficient at f2.8 then sure, the shot might look brighter.
However in this case it is the camera's metering making the choice of ISO, so it is not just looking at the change in aperture and changing the ISO by the equivalent amount: it is freshly metering the scene in both cases and judging that the exact same scene should be slightly brighter when at f2.8. With auto while balance on, it also consistently chooses a somewhat cooler temperature for the f2.8 shots than the f1.8 shots.










