I think if Lightning is able to match Monero in privacy, this could happen.

But keep in mind we're far away from that point. Currently even splitting UTXOs on a private Bitcoin L2 is very very hard.

I spoke to a Murcury Wallet dev about this. He said the reason it can't split UTXOs is because it'd require Lightning integration which is a lot of hard work.

Seems like we're far off from that point.

I hope LN does inherit XMR's privacy features one day. It'd be perfect. And it may well do. But not in the short to mid term.