There is an exception though: if you have a public channel next to it, the private channel can be used for liquidity on that hop, see #737299
Not for public routing (others payments through your node), but ONLY for you own payments.
Routing = take others payments and pass them through your channels and forward them to other nodes. A private channel cannot do that. Not automatically, maybe manually but is a pain in the ass to construct the payment route in CLI. Is the end of the edge.
Here is an example of including the route hints using a private channel
That way I can receive from any other node into a private channel. Forget about routing with private channels. Long time ago was a proposal by Anton (SBW dev) making private routing. But was abandoned.
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