Right now and for the near forseeable futureLN can be read more easily than Monero.
And LN can't be read in the future only *IF* no one is actively saving that data right now. Big IF! Chainalysis is most likely gathering as much data as possible from it. And central hubs can also be saving most network activity. We don't know.
This is why DNMs don't use LN. True skin in the game and market test.