Puzzle #257 - Downright Weird (Global Haisu)

Remember Haisu? Well, I had the weird idea to apply the room visit number rule to the entire puzzle as well- so all instances of a 1 must be visited before a 2, before a 3, etc. The implications are tough to grasp and I'm guessing heavily puzzle dependent, and there's room for at least another few in this variation before it starts getting stale. I definitely don't regret the construction attempt here.

puzz.link interface