Not really. All depends how you "organize your stash" on the 3 levels.
[![3level-stash.jpg](https://i.postimg.cc/MTL2kvT0/3level-stash.jpg)](https://postimg.cc/vg5Sf85D)

Please read these:
- https://darthcoin.substack.com/p/lightning-cleaning-machine
- https://darthcoin.substack.com/p/operating-with-ln-as-a-merchant
- https://darthcoin.substack.com/p/bitcoin-and-privacy
- https://darthcoin.substack.com/p/private-lightning-nodes
- https://darthcoin.substack.com/p/lightning-network-submarine-swaps
- https://darthcoin.substack.com/p/bitcoin-be-your-own-bank-think-like

DarthCoin

See the chapter [_Security and Privacy of the Lightning Network_](https://github.com/lnbook/lnbook/blob/develop/16_security_privacy_ln.asciidoc) from _Mastering the Lightning Network_

benthecarman

I understand its very difficult to track if you're using unannounced private channels

2bithits

Yes but It is more difficult if you use your own LN node and coinjoin the utxos that remain when you close the channels.