a extra edit:
exposure adjustment EV -3 or +3 is NOT the same as gamma and blacklevel.
Gamma max out right something in the range of +1/2 ev.

gamma max up, notice the tone curve.

1/2 ev up histogram looks almost the same, but the tone curve is less up and see the trunk ofthe bird
So gamma up for brightness correction is ripping out the contrast of your picture even when the overal image is looking nearly the same.

go the other way, gamma max down and blacklevel max up, heavy contrast lower section.

ev -3, overal contrast is the same (tone curve stays the same.) even -3 can reach the overal darknes of the image with gamma and blacklevel.
Some more testing reveals the nature of the line:

hit auto adjust ev and it gives +.65, line and tonecurve stays the same.

use the hystogram as comparing tool to try to get the same image.

try to get the same preview by brighten up more.
my conclusion:
EV: is raising or lowering the straight line in the tone curve tool/histogram without changing angle of the line, contrast (tone) or Dynamic Range and when image reach clipping point you see the spike on the right appear , highlight is falling out the dynamic range , clipping colors.
shifting the tone curve range , steepen the line, is the opposite of HDR. or dodge-ing/burning.
So imho the tone curve tool shows me the difference of the sliders/tools even when the image looks almost the same using different tools (ev).
step one: histogram and EV adjustment top get the spikes/blobs in the middle (crop first if needed)
step two: use dodge and burn tool to level out to the clipping points left and right.
Step three: White Balance setting for overall color temperature.
step four, use tonal tools like contrast(center), saturation, black level, gamma to spike (no correlation :-D ) up the image more.
step five: sharpening.
Eye drops do some combination things automatic : skin color enhancement, black level tool, grey balance. these are like the auto exposure button, sometimes nice other time ugly.
edit: the tone curve tool is just more agressive than the sliders , they give adjust room around the base tone curve. But you can totally twist the image around to a "alien" image with the tone curve tool. But for normal post processing a image it is more a measurementdevice to see what is happening in the image and not a tool. (or you must go over the restriction of the sliders......)