You kind of answered the question: revenge does not help the victim. It might feel necessary, but it does not actually help.
If A's revenge took the form of damaging B's car (not while anyone was in it) and costing thousands of dollars in repairs... Well, it would depend on just what B had done to A, and what alternatives A had. But if B had previously inflicted the same magnitude of economic damage on A, and perhaps gloated that there was no way for A to prove it, then... I think the main thing I'd feel for A is respect.
If I understand right, some people consider that justice is a form of revenge. If the process of administering justice is done by a legitimate third-party, which lets the victim focus on healing/repairing, then I agree that justice will help the victim.
(Yes, I know, masks aren't the perfect example because they do have a [smaller] prophylactic benefit to the wearer as well. But if they didn't, it would still be a good idea to wear them for disease containment, and "lol it doesn't benefit me" would be a dubious argument for the same reason.)