How do they analyze Lightning?
There is no ledger/blockchain to begin with...
ps1: Monero has not been broken (highly unlikely IMHO), but they will delist it from various CEX (which proves it's an actual danger, since the bounty hasn't been claimed so far). It's still listed in Binance, Kraken, KuCoin to name a few.
ps2: KYC is debateable and highly overrated.
Let's say that I buy 1 BTC from Binance (with my own identity) and I gift it/sell it to someone else (either hand the private key or send it to another address).
Chain analysis companies will still claim it's my own property, even though it no longer is.
Don't sweat it too much, as long as it's stored in your own personal wallet and not on a CEX (even if it's the "trustworthy" BlackRock with their ESG shenanigans -> could easily steal your BTC IOU if you don't comply to climate change demands for example).