I've been as sports fan and a gamer, for as long as I can remember. My Dad and older brother and cousins were always into sports so there's that, and I've been gaming since the 16 bit days, and collected comics books for a good amount of time, so I would say yes nerds do enjoy sports
I also noticed a certain "dislike" for sports from some of our "nerdy" brethren, and I always just assumed that was from years of being picked on and bullied by jocks, which in turn leads to the general sports dislike.
See living in the suburbs of NJ I usually had to deal with the asshole rich kids(some of which were on sports teams), while the rest of jocks, for the most part, were pretty down to earth, one of which was one of my best friends thru out high school. I can enjoy sports without feeling like I'm rooting for the douche-bag that made HS hell for me which I feel is the issue some have with sports.