I have this weird headcanon that if a alpha session were to scratch (like karkat session, and the alpha kids) that instead of just switching guardians it switches it up between them, like this time for example, its Roxy, jade, Dirk, and John (still not winnable but I think it's interesting) or like Jane, Dave, rode, Jake, etc

Yeah that’s likely what would’ve happened if there was a Third Scratch, but there was just no Scratch Construct there.