You're talking way into the future, when there will be this many transactions (maybe in 20 years lol)
It will never occur if there is such a burden in verification, that's what I'm talking about. All of that, under the impression that you'll either run your own node or use a solution like Feather, but by still checking every transaction until your wallet's block height.
But, besides that part, it still cannot work for point-of-sale. No person will wait for 2.5 minutes in the line, just for their transaction to confirm. Transactions must complete instantly, which implies the existence of a second layer.
You want to build on top of Bitcoin with it's limited small block size ? LN has proven recently that it can't work when L1 has larger transaction count like we have seen with Ordinals spam.
Lightning Network is not suitable for global adoption, and I don't remember it ever being portrayed as the ultimate solution to scalability, by its creators. It was just one solution, which can greatly improve scalability within a network of LSPs. Average users have a reasonably hard time using it. That's why we need a second layer that moves complexity back to the servers, like this one:
https://arkdev.info/.