(But you have to admit, the cheap minigames are a huge percentage of iOS games, and also most of the time, the face of it.)
For sure, but the Wii has a huge percentage of shovelware minigame compilations, and were often the most visible games on the console.
Once you start digging around the iOS you'll find it's one of the most varied devices for games out there - for all kinds of gamers. I don't buy this idea that the games on it are somehow "less" than their console brethren.
I mean, yes, shooters and platformers are more difficult without physical controls (though there are exceptions. Max and the Magic Marker is far better with touch than pointer controls, for instance). But for most other genres the iOS platforms offer an experience that isn't really any different to the consoles.
Or to swing the whole point I'm making here around - people that have the likes of Civilization Revolution, Baldur's Gate, Riven: The Sequel to Myst, Machinarium... I don't see many of these people complaining about the quality of games on the iPad much 