While I absoultely understand that there are all sorts of casual gamers, and that yours is its own form, leah, I must agree with Rojahar here in the sense that the definition of the term as I've most often experienced firsthand (and most of my friends would say the same, I believe) is the sort that dives into quick-'satisfaction' forms of gaming like a few matches of a competitive or co-op game. Social gaming, as he asserts, is the core of the casual gamer -- but again, there is always going to be a broad definition of the term with ample room for your sort.
To back my assertion, I'll bring up an experience I had while at a Gamestop in Tampa today. There was a mid 20-something there with his wife; she held their baby anxiously, clearly bored out of her skull. The cashier was attempting to upsell various 'hot new games' to him and he explained the following:
"Look man, I'm just a casual gamer now. I got a wife who isn't into games much, I got a kid, I got a full-time job, you know... I'm just casual, I just wanna get into that Call of Duty multiplayer arena or whatever and just go at it with my buddies for a little while. Like, I don't even wanna play the single-player campaign or whatever, I just don't have time for it."
I realize this all sounds very stereotypical, but it is very much what I heard the guy say. Not word for word, obviously, I mean, I didn't intend to recite it later on when I heard it, but yeah. And I hear similar statements from this crowd all the time. Call of Duty single-player campaigns, I've been told, are quite short -- seven or eight hours or something. I mean, damn, coming from someone like me who enjoys every minute of the 80-hour JRPG Xenogears, that's... that's just not worth the price even on clearance. But those guys are getting sporadic, social play where they can just jump in and pound away.
Hell, I hardly even remember why I typed this all up at this point. It isn't even the first time I've typed it, but the second -- my PS3 browser decided not to properly submit it the first time. Whatever point I was originally intending to make, I'll just say this -- there are definitely all kinds of casual gamers but the majority I've personally bumped into are very much that stereotyped 'dudebro' brigade the internet keeps harping about.
Forgiveness in advance for various potential typos. PS3 browser. Terrible thing, I tell ya.