I voted for casual, even if it isn't exactly that...
I'm more adventurer, about the "go everywhere", "see everything", "talk to everyone" and "solve every 'quest' "
I'm all story and map. If I could do that without to be a Pokémon Champion, I definitely would travel the world at my pace and when I've seen everything care about the "being a famous fighter" or "catching them all"...
I love to be in my character, but I also behave like I would never accept to see someone behave if it was for real... y'know, like
-having one hundread of useless Pokémon in the PC that never see the light.
-trading a Pokémon to who-knows who and where.
-putting a Pokémon with a Ditto at the Daycare, hatch the egg and put the egg with the same Ditto...
'cause even if it's nice to play one's role, it's still pixels...