From childhood (I can remember feeling this way at least as far back as about 10 years old, maybe earlier, definitely before barmitzvah), due to my observing how winning made me feel as it separated me from my group of friends who did not win and particularly as I observed it over-feeding the egos of others when they won and somewhat in me, I sought to subdue my competitive nature. So I think that has more to do with my not caring much for sports today than, if at all, being gay.
Where being gay might have influenced my not caring much for sports could go back to very early childhood when I used to get jealous that my grandfather would play ball with my brother but never invite me. So maybe they were picking up on that I was gay and treating me differently or it could simply have been that they developed their relationship before I was even born. So I don't know what triggered that but it could have in turn effected how I feel about sports.
Though my father's side of the family was mostly involved in creative endeavors, my mother's side was athletic, grandma a competitive swimmer in her youth, grandpa a champion handball player, my brother totally wanted to be a professional pitcher and even mom loved sports, though that might just have been because she was half lesbian.
Oddly, as far as I know, there are more gay members of my family on the athletic side then there might be on the creative side. So my theory is that gay guys who do like sports are just more in touch with their inner lesbians.