The PSP could connect to a TV, does that make it a home console?

[Mr.GameCrazy]

To answer your thread question, no. The PSP was designed to be a handheld console. Being able to connect it to the TV with an addon cable doesn't change that fact. 

The Switch and Switch OLED on the other hand are designed to work as both a home and handheld console. Unlike the PSP, the Switch has 2 power profiles. When in docked mode, they use their full power to run games on TV, but when they're in portable mode, they use a lower power profile. The PSP can't do that.