I don't know if I'll ever be able to find someone to play this with me, but I can still think about this.
1. Is a player able to reclaim gates they have placed down? Seems like a fascinating imbalance if so.
2. The facing disambiguation is interesting, but is there a way to prevent infinite loops? Literally speaking, the rules don't stop a token from moving back and forth between two cells forever, which is silly, so are tokens prevented from revisiting cells?
3. The "no single portalling" system is a bit weird on its own. Maybe it could be justified as going through a door on its own sends you into the next room too fast? Another things that could be tested is making the placement legal but actually traversing that door impossible. Dunno how well that would work, my mind is reeling.