So, I just tried this in Messages on Big Sur. If I search for a name, I get a list of existing-conversations that the person with that name is in at the top of

So, I just tried this in Messages on Big Sur. If I search for a name, I get a list of existing-conversations that the person with that name is in at the top of the results, then the list of text results within conversations. Messages on Big Sur is (basically) the iOS Messages app ported over with Catalyst, so it has a lot of improvements compared to the highly-stale app it replaced.