Sending a mix stream without adding system latency?

I’m not quite sure what you want to acheive. It looks like you want a jamming tool, both sides play along with each other? VST Connect is not supporting that at all, explicitly. It is designed to record a remote artist like recording is done in a “local” recording studio, as if the artist is next room and you can record, punch in/out etc just like that. The difference is that you (the engineer) can not play along with the artist in sync, it’s a “one way street” (albeit sample accurate). You have to look elsewhere for that jamming functionality.