I don't play video games because I don't have the eye hand coordination to do so. Of course, I don't play board games either, except maybe Trivial Pursuit. But, I think I can comment on "kids today" and the idea of books vs. video games.
I disagree with the fact that you are not getting any cognitive stimulation while reading. Yes, it is a solitary pastime, but there is plenty of research that shows how (kids and maybe adults) you develop more neural connections while reading. Please don't ask me to cite studies now, but I read a lot of this research about 10 years ago. I think about how much knowledge I gained from reading! Both of my kids, too. My husband, who is very smart, doesn't read much, except magazines and newspapers. Sometimes he has no clue what the rest of us are talking about.
I am not against video games, but I am against too much of anything. I let my kids play violent games on the computer... but I knew that I had to restrict the youngest one a bit because he has an obsessive personality with this stuff. But, again, he also read, played outside, and did a lot of creative stuff.
I found that most parents had no idea how to establish structure in their kid's lives. There were no expectations. I started teaching in 1976 and quit in 2007... there were always parents who had no clue and those were great. I guess it did get worse over the years, but that was why my last job was in a district that stressed social and emotional learning as much as academics. It was assumed that we had to teach this and our daily meetings and activities around this gave some of the kids their only way to learn appropriate social and emotional skills. And they all had to do community service. It was not easy and many teachers fought this, but I still think ALL kids benefited, even the ones from super families.
Irulan, your kids sound a lot like mine! Even my son who is in the military is extremely well read and has a wide variety of interests. But, this started when he was little, when most parents don't have a clue.