I have a little bit of an idea. What if we used some form of Optimistic Governance where snapshots can take place on each chain but there is a dispute period that lives on L1. The L1 POOL holders would have the power to cancel a vote during the dispute period if any malicious action has taken place. The snapshot votes would combine to make decisions and approve transactions but Ethereum POOL would have veto power to protect the platform. Maybe this is very difficult to implement but the idea would be based on how UMA’s Optimistic Oracle works to verify price disputes.
If that idea is not feasible my preference would be a hybrid system because I want to see POOL available and usable on as many chains as possible.