Hello!
Yes, I did mistype there - it was really supposed to read "flash duration". Thanks for paying attention, good catch!
And you are are also absolutely correct, that what I wrote was a gross generalisation.
Things do get a bit more complicated with extreme light levels, which (talking about macro only here) are hardly ever present even in harsh sunlight at typical macro apertures in my experience (f/11, 16) - it can be when combinig multiple wider aperture shots or when going for a stylized wide open look etc. though.
And of course, when dropping the shutter really low to get ambient spill in lower ambient light - handheld that is. What happens here, is that subject motion is still frozen by the flash(es), the overal scene can see some or much blur due to camera shake though. This can be used as an effect, but I find it mostly distracting to have a kind if sharp, yet washed out subject in a motion-blurred scene.
A neat little "test" setup at home is playing with the strobo-mode and longer exposure times - the long shutter speed lets in ambient light (depending on light levels of the ambient, more or less), the pulsing flash (short duration) stops the motion. There probably are some helpful online tutorials how to set up as well.
Here is an age old quick and dirty single exposure (nothing combined here) of me flipping open a one-hand pocketknife while handholding the camera with the other and using strobo mode. You can see the blade positions being stopped by the pulses from the flash (and being washed out because of the longer exposure time) as well as the overall motion in my hand due to the longer exposure time; not anywhere near a quality shot, this was purely done to make the flash-stop-motion visible. It is possible to get really interesting results with this though, especially in macro, because strobo-power levels are rather low to enable a motion-freezing short duration and work best up-close for that reason.

On of the best examples of using strobo-mode in the field comes courtesy of fellow macro shooter John Hallmen (the best out there imho), morfa - on here as well:
http://www.photomacrography.net/forum/viewtopic.php?t=8471&view=next&sid=165af4e0fd37d44d385b01f3cc2725e7
Furthermore, you are correct as well, that the flash power is a major exposure controlling factor. I had my mind set on the way I shoot macro, manual everything, also preset flash output (to serve a purpose of certain looks, frozen motion etc) - with constant flash output, the aperture is the way to control the exposure, with changing power levels, the aperture needs to be adjusted as well.
I did this test shot about 15 years ago when still hosting the Macro thread in the Oly DSlr subforum on here, to show that taking control over the light is the single most important thing to controlling the look you get, imho anyways - the same subject (allowed me a total of three exposures, these two and the "real" shot before flying off), once with soft and plain light with ambient spill, once in a stylized harsh, ambient blocking fashion to get the "horror-stories-at-the-fireplace" look. The same two flashes were used, but overall tweaked and rotated to tailor the look. This does not necissarily have to be to one's tase (the "real" shot also had some ambient spill and light to bring some shadow/highlight change on the hairs), but shows what one can easily do on a repeatable basis when taking control over the light:

I myself sometimes like ambient light, sometimes I prefer the old-school black backdrops though:





Most of these are about a decade old and can be done in at least equal quality with modern cameras. All were done using flash and are meant to give a short glimpse at different looks - all were done the way they were done on purpose, controling light accordingly.
Best,
Alex
-- hide signature --
carpe diem, quam minimum credula postero