Cooperative games in which players each use their own display system are known as "online co-op", "network co-op" or "multiplayer co-op" games due to the majority of such systems utilizing telecommunications networks to synchronize game state among the players.
Nintendo Switch supports multiplayer gaming options of all kinds. You can play together online or in the same room using one system or multiple systems*. Specific features vary by game, such as voice chat or split-screen play, but sharing fun with friends and family is a key focus for Nintendo Switch.