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I like the idea, but a better solution IMO is for AI servo to work equally well for static and moving targets...which may actually be the case with the 1DX/5DM3 although I've never ventured to try it.
With 1D series cams, I've tended to stay in servo even for static shots, unless I have plenty of time to switch. The 1DX allows you to program a custom button to switch between one shot and servo, but I use it for other things and mostly stay in servo. With the 5D Mk III, I tend to use live view for static subjects and servo AF otherwise. I'm quite used to removing my thumb when I know I have focus, so if I do a minor recompose, it's no problem.