That seems plausible. I think that's a massive improvement on the current system. Voluntarily paying for a valuable service is fine, having your hard earned savings stolen and redistributed in an opaque way is not.

The potential problem I see is if the main chain becomes so inaccessible and centrally monopolized that people without access can have their ability to transact censored.

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You would have to censor on the rail they entered on, I think, which is more difficult, as the barrier to entry is lower, the further you get from the first rail.

Right. And since the main chain is global and open, anyone anywhere with enough liquidity can offer access. So if say the US "Bitcoin bankers" tried to censor someone on their L2, they can just access the main chain through an L2 network from Iran or Russia or North Korea or El Salvador.

Yes. You would have to censor their access to the other networks.