IMO, the key thing about the Switch, and by extension the entire concept of "Hybrid" platforms, is that they can be played as a handheld or connected to a TV using JUST what is what is sold in the base package. In the Switch's case, that is the Docking unit, though this means that the Switch Lite is a pure Handheld.
The PSP could connect to televisions via video output, but to my knowledge, that required extra equipment not included with the hardware. In contrast, the Sega Nomad DID come with the wires necessary to connect to TV's, and thus can be considered an early Hybrid platform.
This is largely arbitrary, but so are things like the distinction between generations or genres.