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That's just a node

Lightning is a network of nodes, not routers

If you call both of them "a node" you are failing to distinguish them. That's why I am looking for a term that specifically describes the node from the first case in my previous reply.
So what would be the appropriate term for it (equivalent to what I, maybe incorrectly, called a "routing node")?

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If anything one is a node the other is a client, but the term routing node is a misnomer.

Mobile node also suffices to distinguish a node that is nerfed and wasting capacity.

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I will continue to use it, since we don't seem don't have a term for it.

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