It is more complicated than that - folks usually don't have a problem with their own flags waving. Indeed, they don't generally even notice - they just think, "Hey, there's someone who thinks like me."
But when someone else waves a flag that doesn't match, they take offense.
Like, there's a segment of the gaming population that have a problem when WotC has art like the picture in question, that depicts a same-gender relationship. But they never consider how often they signal their own support for heterosexual attraction or relationships.
