If it is handled, it is in your hands, not your pocket.
I guess everyone has its own definition. Mine is it is a handled console if you can comfortably play with it in your hands during 1h without arm/hand/joints fatigue.
It can be held in hands and used. So handheld. Fitting in a pocket doesn't have anything to do with being handheld.
It would be called "pocketable" or something like that otherwise. I use my Steam Deck and Switch exclusively by holding them in my hands and never dock.
My immersion blender is handheld and doesn't fit in my pocket. My hair dryer is handheld and doesn't fit in my pocket. A tennis racquet is handheld and doesn't fit in my pocket. A baseball bat is handheld and doesn't fit in my pocket.
It seems strange to say something needs to be pocketable in order to be considered "handheld".