These are just my totally unscientific and gut feeling-based ramblings, but...
I think it's the crown of "ubiquity."
You know, like how a lot of people will refer to any sort of tissue as Kleenex, or a frozen ice pop as a Popsicle, or a copy as a Xerox, or a soda as a Coke, or a tablet as an iPad, whether or not the product is actually made by that company.
When I was little, if a game system was to be referenced in fiction, it would be a Nintendo. If you went over to another kid's house to play video games, you were going over to "play Nintendo." Didn't matter if you were actually playing on a Genesis or a Jaguar or an Intellivision. Unless you were really brand-conscious or a fanboy, "Nintendo" was the generic name we used to describe a game system.
It was a shock to me to realize that things had changed in the mid-2000s when suddenly little kids weren't talking about "playing Nintendo" anymore; they were talking about "playing PlayStation." Nowadays I think you see all three consoles referenced about equally but to represent different sorts of things.
So my impression is that that's the "crown" that fanboys want to see their company of choice take. More than sales or quality of games, they want to feel like their system is synonymous with gaming.