I still don't get why back AF on is so helpful. I often shoot a couple of shots, go from full press to half with no problem at all so it may not be for me.
There are specific situations where a completely independent button works better than a half-press of the shutter.
One is when using a ring USM lens for manual focusing - instead of actually switching the lens to MF, switch AF to the back button. that way if you simply don't use the back button, you have MF. But you have AF available at any time. This only works with a "full time manual" lens of course.
Another is when pre-focusing such as for speed. Press the AF-On button to prefocus, then you can use the shutter as often as you like and (a) the camera won't change the focus point, and (b) there is no lag due to focusing. This can be done using a half-press, especially if you've learned the knack of going from full press to half, but some people find the separate button easier, especially when it's more than just a couple of shots, and also when wearing gloves.
It won't suit everybody and it certainly doesn't suit every situation, but it can be useful.