Not a prayer!
If they have to put their finger in the air, they're already toast, as far as I'm concerned.
Ethics, morals, patriotism and self-reliance are not determined by a popularity poll, in a society seriously infected by perverts and their growing army of supporters.
Chances are they know what will happen if they allow homos. I bet they are just trying to get a rough estimate of exactly how much money/scouts they will lose if they do this. Maybe money will be a primary factor in what keeps BSA the same as always. They are also not figuring in how much insurance rates will go up/triple after kids start getting molested.