I'd can't say I agree and that's for a collection of reasons:
1. None of the Mac OSs are dominant: not on phones and not on desktops.
2. Consequently you're talking about a smaller number of people compared to Windows desktop machines (which I don't own) and Android devices (which I do).
3. Based on your description, my mum is a gamer. She's not. She plays some games. Though she writes letters and has uses and writes on Facespace, this doesn't make her 'a writer'.
Additionally, I'm not sure what you mean by 'owns the gaming market'.
Given points 1 and 2, Apple have access to the smaller numbers of users available and thus fewer users overall.
I'm not sure you've made a point regarding game playing on Apple phones as against Android phones. If you had figures that showed a statistical difference between the two, that would be interesting and would support your argument.
A quick look gave me this:
25.6% of 10 billion downloads are android gameshttp://android-developers.blogspot.com.au/2011/12/closer-look-at-10-billion-downloads.html
30% of iApp :) downloads are games.http://nukoda.com/news/30-percent-of-iphone-app-store-downloads-are-games/
You'd need to extrapolate from current figures and then look at usage data.
Additional to the above, I didn't look for the link just now - trying to keep this short - but I recall something about less than 10 apps get used weekly for most mobile users.
I found your article interesting but too anecdotal to make a claim regarding any prominence of Apple in the gaming space.
As you know, I like a lot of your posts so please read this as coming from a friendly person :))