When in 'A' mode, when the aperture is adjusted, so too is the shutter speed (a given). So let me see if I am understanding this:
Original; f9, 1/200 -> f8, 1/250 = Would this be 0 stops difference? Gain 1 from the increased aperture, and lose one for a faster shutter speed?
It seems very difficult for me to determine the stop amounts as when shooting in aperture mode, I will need to hold the camera on a subject with unchanging light conditions as the shutter speed automatically adjusts. Confused.
Basically something like that.
Let's just say that you need f11 at 1/125 to get a photo at the right exposure levels as an example, so....
If your camera is in A mode and you chose to go from f11 to f8 which is one stop faster allowing in more light, making the exposure (the photo image) much more lighter, the camera will change the shutter speed from 125 to 250, which is one stop faster to cut the time the camera lets in the light, so the exposure will be back to the same exposure level instead of your hoping to make it lighter, so yes, there is no different in stop settings, just different in depth of field and movement sharp/blur.
Somewhat similar to as if you up the volume on the PlayStation/Xbox/Sky/whatever (the aperture) by 5 levels (1 stop faster) to make the music 5 times louder (overexposure by 1 stop) but someone else turned the volume on the television set down (the camera automatically changing the shutter) by 5 levels (1 stop faster) to cancel out your 5 levels louder music (your image will be back at right exposure).
So if you use M mode, and you chose to change from f11 to f8 which is one stop faster, but you did not change the shuttle and it stays the same, then the camera will let in more light, making the exposure one stop lighter, so yes, you can say it is one stop, this is because you have control over both aperture and shutter, so you change the aperture but the camera did not change the shutter.
As if you up the volume on the PlayStation by 5 levels (1 stop) but there is nobody to change the television volume down by same 5 levels, so you are 5 levels louder (therefore your image is 1 stop overexposure).
In either A mode or S mode, if you change settings to one or two or three stops, the other half will automatically change too to same number of stop settings, so in effect cancelling out your changes. Zero stop different (assuming we leave film speed out of it).
Manual setting is your best option. If you want to change light levels, you just change either the aperture OR shutter, for example, change from f11 to f8 which is one stop faster but leave the shutter, so your images will be one stop overexposure, or if you change from f11 to f5.6 which is two stops faster, but leave shutter, so your image will be two stops overexposure.
However, if you change aperture one stop faster (ie f11 to f8) to let in more light and you chose to change shutter one stop slower (ie 125 to 60) to give camera more time to let in yet more light (where normally camera in A mode would change it one stop faster (ie 125 to 250)) so you are in effect two stops overexposure. 1 stop from your aperture plus 1 extra stop from your shutter = 2 stops.