I’m not sure any DAO or protocol would be happy to see their tokens periodically auto-dumped by the UNI DAO to purchase UNI tokens.
Even if the UNI DAO were to decide to do that, it is still unclear which legal structure would be needed in order to carry out those buy back + burn events.
See this post for more context: "Fee Switch" Pilot Update & Vote - #50 by devinwalsh
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The goal of this proposal is to present an alternative way for DAOs to capture Uni fees.
The DAOs themselves will need to develop the correct legal structures to collect the fees, and I ultimately believe DAOs would be in the best position to handle/redistribute those funds (they may even choose to do the buyback program you’re describing if they wish)