Lemmonado:
Best reply ever! 
Nope.
You want someone who’s passionate about the source material they’re supposed to be inspired by, be it weapons, vehicles, terrain or anatomy. You want someone who’s passionate about art and design outside of the world of gaming, and who actively explores the beauty of nature. Because the reality you’re creating isn’t based on other games. Even in a sequel, you’re trying to bring the look closer to “reality” (real or stylized); further from its predecessor.
A passion for gaming is imperative in level design, and in any part of the programming pipeline. In modeling? It’s beyond irrelevant (unless you want your game to be a cheap knock-off of someone else’s).
I understand why Id Software wrote that in their description. They themselves are inspired to push harder by what other people are doing, and want the rest of the team to be on that same page.
I think that’s a crutch. I think it’s a narrow view, and I think it hurts the overall product.
By being a professional?
At the risk of repeating myself, you need to be passionate about your involvement in the project; not the project itself.
Imagine for a moment that you’re working on a crappy game. It’s a licensed title, no one expects it to be good, and it isn’t. But it’s your foot in the door, and you need the experience. Are you going to let the quality of your work reflect that you don’t like the project?
Or from the other direction…
We’ve got a number of artists on ZBrush Central who don’t care at all about gaming, but whom you’d be foolish to turn down if they wanted to work with you.
Or burnt out on 'em. Either way. 
There’s a statistical correlation, definitely. But I don’t think there should be, or that this is implied in the requirement. They’re asking for proof that you’ve got what it takes to work the long hours, deal with the pressure, and come back the next day. They need to know you’re not going to flake out on them.
…and just to tie this post all together, they need to know you’re not going to flake out on them even if you passionately hate the game you’re working on.