Sorry. Not sure I am buying this.
Are you seriously saying that you can't remember every shot of a round you just played?
I know you were frazzled, but.......
Are you sure something else didn't happen to make you feel guilty? Just sayin', as they say.
On the other hand, signing an incorrect scorecard is not, by definition cheating.
You have to decide whether you signed an incorrect card or got away with something.
That is between you and your conscience. But,...