I know, I use LN too. This is just a temp account to test a Monero client, I didn't set up any address on it.
Unfortunately, LN contracts are secured by a close that let you escape to on-chain in case the other side is being dishonest — but ofc this is only possible with low fees. As we already pointed out, global adoption will lead to really high fees and at that point LN becomes fully trust-based, fully custodial.
So, saying that bitcoin has solved it is really a long shot. Sorry my friend but nothing is solved yet & it's going to be a very hard nut to crack.