That's not the problem. There are two. The problem is not that Disney World allows gay groups to swarm the park, the first problem is that Disney will NOT refund your ticket if you show up on Gay Day and find the park full of gay exhibitionists. It's happened to many families over the years who purchased advance tickets unaware of Gay Day. The second problem is that Disney sales employees on the phone, when you call for information, are not allowed by Disney policy to warm you that a particular day is Gay Day lest they be perceived as discriminating against gays. This leads directly to the first problem.
How does Dollywood handle this?