In no way is this me suggesting Discord substitutes for logs, but conveniently (!) you can search the history in Discord! Like, specific channels and from specific people and containing certain text and mentioning certain people and in a certain time period and with a certain type of media attached.
I think there are vague plans to try to set up logging of some kind. It might be done incidentally by setting up a bridging bot, because of MotherStarlight then logging (in IRC) the Discord stuff.