Not quite. Because you still need to open a channel and probably eventually close a channel on the L1. Doing so for everyone on earth would cost 75 years, the entire block reward and about a half a trillion dollars. Double if you plan to close. So yeah it's fast so long as nobody's using it, but if they ever (god help us) start, you'll be putting in your payment requests like a Soviet phone line. Then, you have to deal with the quadratic routing complexity which would likely make it completely untenable past a certain number of users. This is why even the Chivo and Strike wallets don't actually use LN - they have a couple of their own nodes, that they don't allow external peering with, and only in certain circumstances. Mostly they just use MySQL.

Either way, it's not relevant because everyone uses centralized exchanges.