It would depend on the wallet provider and what they think it's worth to them to trade their on chain sats to off chain liquidity. I run a LN node and providing this service would probably cost me more than it would be worth to users. I try to keep my percentage of off chain BTC pretty low just in case. There's some risk I carry to having more off chain, in a node hot wallet. I haven't run numbers to know what it's worth but if I did implement something like this it would have to be transaction cost plus some percentage based on that risk.
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