At current levels of MEV (which have been stable for quite a while) timing game incentives are quite weak, it wouldn’t take much to make a meaningful difference. Another solution in this direction are retroactive proposer rewards.
On the other hand, the opportunity cost of losing the block becomes higher when priority fees are high.
The issue isn’t losing too many stakers (we likely wouldn’t, because for a pool this wouldn’t change things too much), it’s that we would primarily lose solo stakers. How many I don’t know, but it’s a pretty dramatic change in the potential downside of staking and I don’t think we can just hand-wave the issue of solo stakers away.
If the execution rights were to be auctioned off instead of being given to stakers (through some form of slot auctions, e.g. execution tickets), I think this proposal would likely be perfectly ok as is.