Myself... I almost ruined one, while „learning on the job“

This is at least a 4 layer board and one can easily damage the 2 inner layers if pulling out parts not heated up sufficiently or applies to much force, etc etc
His offer of a complete recap is (in fact) fair and reasonable, and it‘s the proper way of doing it.
Those cap connections are supposed to be as short as possible which means remove old, clean up, insert new.