I disagree it's true in everything. I haven't made an exhaustive survey of everything, but I have one counterexample: competitive StarCraft at a low level is always determined by who has the best strategy, not the best execution ("micro" in the lingo.)

A really slow player who understands the strategy but can't execute many actions quickly will consistently beat a faster player that has little strategic sense but a faster trigger finger.

The reason for this is, in my amateur judgment, that the slower player with better strategic sense will manage their resources (both time, space, and in-game resources) orders of magnitude more efficiently than the happy trigger finger.

Edit: I should clarify that I'm talking about StarCraft: Brood War. I just realised there's been a sequel and I don't know if what I've said is true for it.