Easy yes to continuing to reimburse gas fees.
Re moving to an L2 (or L3), there are two realistic approaches in my mind that Nouns can take:
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Move auctions + governance to an L2 (or L3). This would be a top-down approach where Nouns picks a lower-fee chain to move to and everyone else follows.
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Don't move auctions + governance to an L2 (or L3), but begin to move other Nounish experiments there. We already see this with The Yellow Collective on Base, Nounish drops on Zora network, public goods mints on Optimism, etc. Over time, a locus of energy will eventually emerge, and then Nouns could go all-in on it.
I'm strongly in support of moving experiments to lower fee chains and seeing which direction it shakes out. I'm opposed to Nouns trying to pick a specific chain top-down, given the greater liquidity available on L1, the greater security on L1, and the current fragmentation of the L2 ecosystem.
Note that there is a third option, which is splitting auctions and governance (keeping auctions on L1 for greater liquidity, moving governance to an L2 for cheaper fees). Cross-chain attempts like these are right now both quite messy and much less secure in practice than going all in on either an L1 or an L2. It sounds nice in theory, but would be extremely difficult to execute in practice with the current tools available.