You usually won't see a response, the moderator will either lock the post or more likely warn the user to stop the edit war and if necessary will suspend the user.
Interesting. I dug through my inbox and was able to find the answer, and evidence of the edit war itself is gone, except for the actual edit history. The comments have been removed. (Good riddance, but the process is less transparent for me.)
The actions to warn and suspend users are kinda intentionally invisible or at least less visible. The idea is not to publicly shame the users and to let them come back and continue to participate without attaching a public black mark to their account.
So you usually won't see a direct response when you flag something except that your flag is declared valid and the problem is resolved in some way.
The SO mods also handle thousands of flags per day, so they're even less chatty than mods on smaller sites might be.
