I reckon there are many, many ways to mangle a Sburb session, so go for it!

Remember, in canon, we have NEVER seen a complete, successful Sbrurb game that ran with no outside interference as the game is supposed to run. We don't really know how such a game would play out, and we don't know what other kinds of Weird Multiversal Time Shit are possible.

If Sburb permitted all the paradoxical shenanigans that went on in Homestuck, I'm sure the game would happily decide that your escaped player was destined to start the new session all along. (Meanwhile, I'm working on a fan session where most of the sprites are dead players from other sessions....)