You are ALL WRONG.
There, did I get your attention.
I shoot 95% sports. For years I've used BBF. I used it all the time for every situation from sports to scenery.
But I'm switching back to shutter release focus for now. When using BBF I notice an increased tendency to get blurry pics from camera shake as I "slap" that shutter button to get images. I've been able to see camera motion blur at shutter speeds faster than 1/250 with a 50mm lens. I think part of the problem is that the shutter button has to travel the full distance which increases the odds that motion affecting the camera.
The second thing I've noticed is that my timing seems a tad slow with BBF. Again, the shutter has to travel through its full range to capture the image and it takes more time.
So I'm putting AF back on the shutter button. This means I'll have the button 1/2 pressed and will have a shorter travel to both reduce the shot delay and reduce the likelihood of shaking the camera. Time will tell if the experiment is a success or not.
I'm setting up the back button to be a focus lock. So, if I want to focus / recompose, I put the center AF point on the subject, focus with shutter 1/2 press, then press & release the back button. Release the shutter, recompose and then take the shot. It will be slower but I do very few of these shots where speed is of the essence.
So there you go. I guess I'm a recovering BBF-aholic.