What makes Switch a functional home console isn't just that you can connect the device to a TV, it's that you do not lose a single feature of a Nintendo home console with it. That's why calling Switch a hybrid console is the correct way to go about it, whereas only the Switch Lite is a handheld console. Switch works well as both a home console and a handheld console, something we've never seen before.
Then you look at the PSP and can easily recognize that it absolutely does not compare favorably to the PS3. The PSP doesn't have the graphics, it doesn't have the multiplayer features, and most importantly, it doesn't even have the games. Pretty much every big Sony game was exclusive to the PS3. The PSP is merely a handheld that could connect to the TV, hence why back in the day nobody ever asked if this one feature suddenly made the PSP a home console or work akin to one.
You might as well make a thread to ask if the Super Game Boy turned Game Boy games into home console games because the SNES accessory made these games playable on a TV, because that's just as stupid as a premise as the one of this thread.
It's actually very easy to understand the difference between handheld games being played on a TV and home console games being able to be played on the go, provided you are a gamer. Just look at Switch's launch title Breath of the Wild: It clearly wasn't a handheld Zelda game.
Legend11 correctly predicted that GTA IV will outsell Super Smash Bros. Brawl. I was wrong.
