When I had no choice (older film bodies) I was very used to the half press focus and recompose, and I was mostly shooting portraits. When I moved into DSLRs and wildlife, that just didn't cut it for me and I tried BBF. I've been in love with it ever since!It took me quite a while to be convinced to try BBF, I was very skeptical! Well now I am happily eating my words, it is much more flexible - once you get used to it!
Agreed. I've tried the AF-OFF approach, but I don't find it as useful.
I think its usefulness depends on your general subject matter, if you regularly shoot sports, BIF and other dynamic subjects it makes much more sense and once you are used to a way of doing it it makes sense to just use that approach for everything. If you shoot less dynamic subjects and have a camera with good off center AF points then it becomes less important, indeed it is the focus recompose scenario where I want to place the focus point out to the edge of the frame that I use BBOFF most. (I just registered BBOFF as a trademark )
Now we have the best of both worlds with the new 1D X firmware. You can set the back button AF button to AI Servo and AE lock button to One Shot, or vice versa. You can even customize the focus points and how they are selected for each button! As I don't use AE lock a lot, I did just this, and then moved AE lock to the custom buttons on the front.
I'm still getting used to it a bit, but for me, I use AI Servo 90% or more of the time, but will use One Shot when the light is low, subjects are still, etc.
As for shutter+AF button, it drives me insane after using BBF for so many years. I have everything perfectly focused and then I push the shutter and wait (arghhhh!) for the focus then realize it's off after the shot fires. The delay and potential to re-focus make me crazy.
That's just how I feel, but I completely understand other people's feelings to the contrary