I think there was just about the right mix of muting the mics and giving him enough rope to hang himself. Harris’ campaign supposedly did want the mics unmuted for exactly that reason, but having them muted did let her get her message across to the viewers without constantly being interrupted.
Which games will be forgotten? The overwhelming majority of them. Which games from the early 2000s are still talked about now? There are some, but a lot more have been completely forgotten.