There will always be a small mining pool willing to take your sats, you just may have to wait a few blocks & pay a small premium.
Lightning can't be censored, there's also enuts & liquid.
Discussion
All layer 2s and 3s require on chain transactions to set up or to reach final settlement, but I do believe you'll be proven correct as mining game theory matures.
Yeah - you need to have those setup before you actually need them.
The fee spike with that ordinal garbage taught me that.
You don't need everything in there but optionality is always reassuring.