Incentivized liquidity for the Ctez contract?

A flaw in the Ctez contract was exploited for the second (?) time recently.
The flaw emerges when there’s insufficient liquidity in the reference AMM.

So, would it be a good idea to incentivize liquidity in that AMM, via a very minimal liquidity baking reward?
It could be done simply without changing any existing contracts by creating a Youves-style farm for LP tokens from that AMM.

You could probably also argue that it would cost the network negative money, because the aggregate tax savings to users of them moving from tez + taxable staking rewards → ctez would probably outweigh the necessary incentive.