On the specific issue of action shots, that would depend if you're using a tripod or not.
If you're hand-holding, then already (by default) precision focusing is NOT your main goal ... versatility is. Therefore AF will probably be your choice to capture the action. Macro shooters who hand-hold in the field will invariably also have flash, use AF, etc.
However, if you're composing your shots on a tripod, say to capture a bee in flight. And (say) you've selected "the" flower you're going to set your gear in front of, then you're going to use MANUAL focus to nail your shot, because you've already taken the trouble to stabilize your shot via tripod. You've already composed your framing. So, at this point, you're simply waiting for the bee to come in front of the flower, and you will zero-in on him critically using manual focus.
So if you're hand-holding looking for action shots, and just trying to "get" focus, then AF may be the only way you can get the shot.
But if absolute focus is your goal, then you're using a tripod, you're using MF, and mirror lockup/live view. Even in action shots.
I forget the guy's name, but he is widely considered "the" best photographer of bees, and the latter is the way he gets his best action shots: set up on a tripod in front of a flower ... not running around chasing bees with a camera in his hands.
Jack