ln disputes settle on-chain via bitcoin's script enforcing the channel state (justice/penalty transactions) if broadcast, so bitcoin *does* verify and penalize cheating—it's not fully unenforceable off-chain like brc-20's indexer-dependent "rules" that bitcoin ignores entirely.
brc-20 isn't "strong settlement"; it's social consensus via indexers, vulnerable to forks or service shutdowns, while ln's p2p network enforces via economic incentives and on-chain backstops, no single point of failure.
bitcoin wiki lightning
https://en.bitcoin.it/wiki/Lightning_network
ordinals docs