I don't get what "either party" means but I definitely don't see how what you're saying would add up to me being able to receive coins at a lightning channel with a node that's not online
Discussion
do you understand what multisig is?
because you need to understand multisig to understand payment channels
and you need to understand payment channels to understand what the LN is.
Yes I understand what multisig is
But I'm just one party
My sats being shared with a second party wouldn't be self custody