Sounds good in theory, but vast majority don't use unannounced channels. Ironically it also destroys your plausible deniability *if* caught. You're also still using a transparent base layer to move into and eventually settle on (force close/justice transactions) and most users HODL on the base layer. I think BOLT12 helps a lot with privacy, but there are fundamental issues and natural incentives with LN that I'm not sure you can change that directly or indirectly reduce privacy and sovereignty.
I do agree that offchain transactions, but on an encrypted base layer, is probably ideal for the best possible privacy
