Support said to ask for this as a feature request.
Recent updates to the uc surface program added functionality to be able to rename mute groups, but the names do not persist across sessions. The only problem with this feature, is that by default all the mute group buttons are BLANK, and because they are in a 2x4 configuration, it would be impossible to know which button is which, without already knowing. The mute groups know what they're supposed to do across sessions, so some sort of configuration information persists inside the mixer. I just think it's good practice to not have unlabeled buttons anywhere by default. That just seems very short-sighted for me, and is very undesirable behavior in many settings.