I agree with the statement of FAWS' that you quoted there. Although I do note that FAWS' statement is ambiguous. I only agree with it to the extent that the meaning is this:

Yes, its a fact about your strategy, but this particular strategy would not have been your strategy before making [the decision to precommit which involved some change in the particles in the universe such that your new state is one that will take a certtain action in a particular circumstance].