I think the sexuality bit is getting shoehorned in here, though. I'd want to see evidence that the study used charismatic, "big" voices that were judged as both straight and gay and still show that there is a bias against those perceived as gay.

Not only that but especially for CEO, hiring decisions are not made in a vacuum like this. Were the participants given mock resumes and career history? In an actual hiring process, again especially for CEO, the folks on Board responsible almost certainly would be familiar with the candidates' previous work, and probably know them already.