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Besides that, you still have to pay fees to put the money into Liquid and then into Bitcoin again.
You sure don't. Why would you swap back into L1 bitcoin? You keep liquid sats in the wallet for cheap submarine swaps to keep your channels balanced. The whole point is that you use L2 liquid to rebalance L2 lightning without paying expensive-ass L1 fees or fucking up your peers' channels with circular rebalances