They shouldn't, but since the game has been enhanced, there's a good chance that something will go a little wrong and need a patch. I would actually guess that most of them end up with a patch, but only a few end up with game-breaking bugs and need a patch.
The actual message from the statement: "(...) some publishers may release Nintendo Switch 2 Edition games as download codes in physical packaging, with no game card"
In my eyes they try to damage control here and cherry picking one or two (old) games, while the path of all the other games is clearly heading into opposite direction - suits wearing suits
Nintendo has confirmed that Switch 2 editions of original first-party Switch games will have the full game on the card rather than requiring a download - though that may not be the case for third-party titles.
Those are titles that already exist on the switch one, it doesnt even say that further remaster editions will do that. Not even mentioning future first party titles like bananza, metroid, mk world and then: all the unanounced titles
That would be really interesting, because it would mean they either emulate the game on switch 2 even though it is a special cartridge for the switch 2 edition, or they have some kind of universal binary that works on both (which I don't think is possible without duplicating a lot).