I think incentivizing LP’s by having to opt in through staking UNI is perhaps not the right direction.
Here is a thought on organization structure:
What if the collected fee’s from the fee switch are claimed by the users who are trading on Uniswap as a gas fee rebate? For example, User A makes a swap, it costs that user 3 dollars in gas. In the act of the swap, a small % of the accumulated (fee switch) fee’s is claimed/directed to the gas fee’s of the swap transaction (and it doesnt have to be 100% of the gas cost, can be 30% etc of the cost for more users). Better yet, if the claimed fee’s were auto swaped into UNI token in the process of rebating to the user. It further decentralises UNI distribution to the user’s of Uniswap.
This organizational structure would not see the protocol gaining revenues (more so of a community pool) since the fee’s would be used as a cost rebate to the user (the user is opting in to paying the tax on the gas rebate vs the protocol)?
This alternative use for the fee switch designates it as a public good to the user’s of the protocol, and benefits LP’s through increased user acqusition/volume.