Anime fans are hopeless romantics and see sex and romance everywhere without realizing that there are different kind of relationships. Probably doesn't help that the story is written by an adult woman who has completely different point of views on this kind of thing. Japanese people have "skinship" culture it might feel weird for someone who's not used to it. Reminds me when I heard that Ookiku Furikabutte is "really gay" and then I watched it and it was all about baseball theories but not gayness.