I have always considered them separate from one another.
Always have and always will. For some reason trying to put the two under the same roof seems to cheapen BOTH of them.
I love my handhelds and my consoles alike, but when I say to someone I know
"You a console gamer" I know of NO ONE who will say yea, I love my DS.
Visversa with "You a handheld/portable" gamer?