While I wholeheartedly agree, burning tokens is against the idea here. I replied to a similar post already:
I would like to get your thoughts on an idea of using a certain % of the fee market to buy back $ENS via uniswap, or some other DEX, and distributing those in airdrop fashion to $ENS holders.
My thoughts here are that it would help strengthen the DAO by removing $ENS from users not wishing to support the DAO (aka wishing to sell their tokens) and giving them to those more dedicated to the DAO (aka those who hodl and thus support the project).
Main concern here is that this seems a bit gimmicky as well, turning the token into a dividend producing speculation token as opposed as a strictly governance token. Pros/Cons, I guess.