Sometimes people call Breez and Phoenix "semi-custodial" - because they can't make random payment on your behalf, but they can block you from making a payment.
Any LN node you connect to can block you from making a payment. I'm most familiar with Phoenix. If Phoenix blocks your payment you can force close the channel and backup from the seed phrase.
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Agreed - so the question is whether that should be called self-custodial or not? I guess one step better than Phoenix is to have your own node with multiple viable channels. Then you shouldn't get disrupted by single node blocking you.
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it is the same if you don't use your own node to broadcast your bitcoin onchain transactions.
Again, if you hold your keys, to me is a non-custodial wallet.
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