Just wanted to say, in principle I’m in favor of offering liquidity incentives on Arbitrum and Optimism. I think incentivizing top pools (maybe just stablecoin/ETH pools or a select few others) for a short period will help cement Uniswap v3 as the preeminent DEX and liquidity schelling point for L2. And if Uniswap can support better L2 liquidity and trading experience, this will help onboard more small size users who are currently forced to use alternative DEX platforms on sidechains.
Incentivizing liquidity on v3 pools is somewhat complicated - giving yield only to LPs that are within the active tick can have negative side effects (see Ribbon finance for example: https://twitter.com/freddycoen/status/1460919501428559879?s=20). So maybe it would be better to incentivize wider ranges or get creative on exactly how rewards are calculated. Also think it could be productive to work with automation services like Gelato to offer better LP UX on L2 before we offer incentives.