Live band recording using VST Connect to a remote Producer

“but it would be nice to integrate this into VST Connect more directly.” How so?
You know that you can also set the Cue Mix to “Mix” in the Control Room, which then sends the main mix to the Performer?
Other than that, what you describe (Rehearsal mode) is identical to ‘true’ recording mode using VST Connect Cue, so it’s all there and we’d be eager to learn what you are missing in this scenario.
Btw. you are not the only person ‘abusing’ VST Connect. We’ve been watching a band in Berlin to make a ‘world tour’: they perform in Berlin, started out streaming to club locations - Brisbane for 30 min, then an hour later California etc for display with a projector. The reason they took VST Connect is for its audio quality, and beeing able to communicate with the audience.