This statement is incorrect, and actually prove the very thing you intended to deny. It's not like adherents of C. held a plebiscite, isn't it? (And if they would, I dare to say they would be in danger of huge disappointment.) They made a choice to call an action free when it's inescapable consequence of a butterfly flapping wings millenia ago on another continent, but not free if it's e.g. equally inescapable consequence of a another human doing something recently, and closely (even if this forcing person is equally inescapably forced by a butterfly wings before). It is not, however, some sort of obvious conclusion, accepted by everybody. It's something C. philosophers prefer to call a common sense, because... well because this way we can make sense of things we do. So it feels much better.

As a side-note, your explanation of 'correction' makes perfect sense if you took the C. pill already, but doesn't make any useful proof of C. One have to accept that the only available variant of future (if we are in a purely determinist universe) still presents a free choice between correct/incorrect. Which is a circular reference to basic presumption of C.

Anyway, thank you for taking time to write the long response!