If every user is non-custodial it means every user is capable of running an infrastructure. I don’t think it’s much of a problem. Plebs understand shit about plumbing but they all plumbery at home.
I think we shall not look for scaling without being able to scale self custody. It makes few to very little sense to me!
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There's also a physical limit to it, as it stands, in order to have a completely non-custodial future in LN, everyone needs to be able to have their own channel. The cost of opening and closing channels will prohibit this as there are just not enough sats to do so.
That's why I think it's impossible, but we should strive to be as self-custodial and trustless or trust minimized as possible in all the layers we build.