The difference here is the entire DS line played the same games and provided the same core hardware. The 3DS, 3DS XL, and 2DS all played the same games.
The Switch comparison here would be:
- OG Switch
- Switch Lite
- OLED Switch
The closest comparison for Switch 2 would be the “New 3DS” which had a handful of games that weren’t backwards compatible. Or maybe the Wii U, although that tried to be innovative enough to be its own thing.
Easiest way is to add the game to be launched through Steam, and then you can use Proton.