We just don't agree on the merits of the argument. Switch Lite is a Switch game player, that exclusively plays Switch games. In my opinion, whether or not it has the capability to dock to a television or not is irrelevant. The user who decides to purchase a Switch Lite over a standard Switch makes that decision for themself. And I'm just not sure why that distinction matters at all, for the purposes of this debate.
We're counting Switch sales as any Switch game player in the Switch family. Carving out ones to make an argument that it hasn't sold as much as it has is completely lost on me, as an argument.
Mentioning NES or GameBoy or Game Gear makes no sense, because all of those systems have unique libraries and there was no cross-compatibility. The only time I'd agree that it makes logical sense to carve sales out of a system's LTD sales, would be if someone attemped to lump Game Boy and Game Boy Color together. GBC was a successor to Game Boy, and had it's own unique library. It's got nothing to do with backward compatibility. You can lump GameBoy and Game Boy Pocket together, sure. GBP was just a cosmetic iteration, same exact library, and was a continuation of the original Game Boy line of hardware.