PSP had it's TV output as a secondary function, whereas Switch has it as a primary function. However, Switch isn't just a handheld/home console system, but it also works as a standalone portable multiplayer system. So it's a bit different than handheld even when not docked. Having it docked also gives it a boost in performance.
Even if people bought PS2's back in the day as cheap DVD-players, the DVD was the system's secondary function, primary function was to play games.
In general, what you consider a games console today, is a bit different how it was seen 30 years ago. It used to mean a dedicated system you plug to your TV just to play games, but today they have all sorts of other functions.
Ei Kiinasti.
Eikä Japanisti.
Vaan pannaan jalalla koreasti.
Nintendo games sell only on Nintendo system.