In short, yes.
There are plenty of rational people out there who don't care what someone does in their private life as long as it doesn't have a readily apparent effect on business. It's a shame that all people cannot be like this, because there are others who take a hard line stance against certain private matter that someone else may hold. That is, the fact that a CEO is a Dom in a D/s relationship will resonate so negatively with some people that is can adversely impact business.
Do you remember the Cheerios commercial[0] with the interracial family? People have much bigger skeletons in their closets, and from a business standpoint, that's a liability. It's not right. It's not fair. But it's reality.
[0]: http://www.today.com/news/cheerios-ad-mixed-race-family-draw...