On the surface, this should be an absurd question, just because it's so absurdly easier to answer: Of course. All gamers care. …right?
I mean, if video games are all about immersion and losing oneself in a fantastical world, wouldn't a technology that presumably adds to that immersion be a 100% universal good? At first, I was pretty much on board with that idea.
But I've found that in truth, not only do I not care about 3D, I actually don't like it for video games. Maybe it's because the technology isn't up to snuff yet, I don't know; I just know I find 3D downright annoying and I'd typically rather have the higher resolution in 2D. Some games look so unbelievably amazing on my TV and I really think 3D ruins that beautiful presentation. And I almost never feel more "immersed." Generally, I just get a headache and furthermore, I'm always very aware that I'm playing in 3D. It actually detracts from the immersion factor, in my mind.
This all being said, I don't think it's just me. Nobody I know takes advantage of the 3D option in games, and they all have the capability to do it, too. We've all got 3D-enabled TVs but we'd all rather not use that option…what's that say about 3D? And if you check around the Internet, most gamers wouldn't say 3D is a major selling point for any game, even the titles you assume would benefit most from that "extra dimension." Of course, I don't really care about motion-sensing in gaming, either, so maybe I really am in the minority.
All I know is that I'm far more interested in that nutso 4K resolution than I am in seeing next-gen games in 3D.