Sure from your perspective that makes sense. But routing nodes (big hubs/CEX + chainanalytics) know the flows of most of LN transactions even when split. Never forget you are probably one in a million to be able to set up a system like this for yourself - time and knowledge wise.

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Everyone receives through their channels only.

Big nodes don't see the payments. Not full amounts, not destination. Only part they route (which can be both smaller and bigger than amount actually paid) and previous and next hop. They have no idea where the payment ends (or if it ends on the other side of the channel).

In theory it works like Tor (even a little bit better), but then half of all Tor nodes are in Germany and Netherlands with manybof them operated by secret agencies. The more they see. The more they can reconstruct. Some routes with certainty others with high or low probability.