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I could see that happening I think LN channels can be offset in a range of ways, Base-chain, LIquid, Channel factories, and if we do get drive-chains you could probably broadcast off those UTXOs too, if you have 4 environments to choose from you can pick the ones or the time in which to settle back at the cheapest rate
Hopefully, we could have something that can recommend the best paths, even something like payjoins in and out of LN could help make open and closing cheaper