Right now the liquidity on ETH mainet is almost 10 times bigger than on Arbitrum while the trading activity is 3 times bigger on Arbitrum. Premia users are mainly on Arbitrum, token liquidity should also be there.
I don't know how much of the liquidity on eth is owned by the protocol and how to split between eth and arbitrum but I think that liquidity on arbitrum should be twice as important as on eth.