are you suggesting pools would actively censor LN settlement transactions, making LN unreliable for users? i suppose there are some incentives to do that, but it would surely cause a scandal and uproar among bitcoin users, and would probably drive some miners to other pools. so there are rational reasons why pool admins would avoid engaging in that type of censorship.
more importantly, once taproot is active on the network lightning channel closes can be made to look like single key spends, preventing miners from singling them out for censorship.
