Correctio is a sneaky rhetorical gambit: you say something, stop, claim you made a “mistake,” and correct yourself.
Clever speakers know that even when you retract or amend a statement, you’ve still planted the idea in listener’s minds.
The correction stands not on its own but as a concept linked to the “mistake.”
It’s not unlike apophasis, a favorite device of Donald Trump, where one makes a claim in the following structure:
I’m not going to say X, because…
Political oratory is lousy with both devices.