Replacing a cylinder actually is just a standard parts replacement, not repair. The term damage history should be reserved for those instances where damage occurs due to forces outside the scope of normal operation (such as ground-loops, bird-strikes, prop-strikes, etc..).
Say a student strikes a light pole during taxi and damages a wing. The flight school has a good used wing that is servicable
and yellow tagged. They replace the damaged wing with this one rather than repair the bad one.
They have just replaced a standard part with a standard part
haven't they? NTSB report on file and just a logbook entry.
no 377 needed.
Personaly I would like the replacement wing rather than a repaired wing.
Just my two cents.