The official Nintendo site has a rather nice timeline for The Legend of Zelda video game releases over the years. The timeline shows the acclaimed games by release date and if you click on the excellent The Legend of Zelda: Link Between Worlds for the Nintendo 3DS system the listing says “playable with Nintendo Switch Online.” This is likely a mistaken see/ing as we’ve only got to the GameCube in Nintendo Classics and even then they are painfully slow at adding new GameCube games to the service. It would be a nice boon if A Link Between Worlds was on the service, but it seems unlikely at present. However, stranger things have happened.

Image @mynintendonews.com

Maybe Nintendo will announce Wii, DS and 3DS for Nintendo Classics soon and they updated the site by accident.
I think the Wii and DS but they will do the 3DS version on their next machine.
Accidents happens.