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For one, all it takes is a node operator's channel partners to report balance and then in effect, their balances are out there in the open too.
For two, it's quite obvious a large payment flowing through the network. If there's just a few nodes in a route where the data is not being publicized, there's still enough assumptions about the route that could take place. Plenty of academic research into correlating payments across the network.
It eventually gets into the aspect of anonymity sets and length of hops, which is getting worse and worse as the network becomes bigger (there's papers on that too). In the end, chain analytics and triple letter agencies sees who is paying who. What Amboss is doing right now is how we get to that point.
Count me as a huge SN fan who is using nostr every day. I do think some type of integration would make sense. I am also an old but rarely contributing Minds member,, and I know Bill Ottman set up a nostr relay for that network. I don't know the technicalities, but that could be one path.