No, their shares are sold on the NYSE, thus they are considered PUBLIC. They are in business to sell tickets, and they earn their money by attempting to create a 'family friendly' environment; to encourage families to come and visit. Think for a moment; Gays make up less than 3% of the population in general; what would motivate a multi-national company to destroy their 'family-friendly' basis for their entire corporation?
Because, like a theater, retail store, resturant or service industry, the theme parks cannot arbitrarily decline to admit a person based upon sexual orientation, religion, race, creed, yadda, yadda, yadda.
Open a resturant, and post a sign that says 'No Blacks Allowed on property" and see what happens. Open a theater and state that you will not sell a homosexual to enter. I think we both know what would happen. If you happen to be financially successful, and cater weddings, yet refuse to cater a homosexual 'wedding' YOUR company will be sued, and you will lose.
If you would trouble yourself to LEARN and to READ what Disney has said, in regard to these groups; you would realize that Disney denies any involvement in 'Gay Days', in either organization nor promotions. Disney has NO CHOICE but to admit these people; or be sued and bankrupted in court (ie. discrimination). Isn't tolerance grand?
"If you want to come, fine - we'll take your money. We don't offer discounts and we don't promote messages based upon whatever your opinions or beliefs may be." Plain, simple, and non-discriminatory.
They DO offer these discounts and promotions because they want to stuff as many 'paying cattle' inside the gates as they can. You can't deny them access but you don't have to promote their causes either, and by putting up the signs that they do, and advertising the themes, they are doing just that.
The Constitution may guarantee free speech and unhindered assembly but it says nothing about free advertising. If you would trouble yourself to understand these differences...
These companies' misdirection should be obvious: trying to draw attention toward "what can we do?", and away from the greed motive (has it ever been put to their stockholders whether or not they condone promotions?).
Disney can also force them to stop using their name and logos as they have with other groups.