I would argue that a degree in the case of BA gets you up in the crowd who ARE invited to interviews and are successful. Certainly those are the minimum qualifications, but with so many keen beans, who is to be chosen? Given a choice between someone straight out of school, and a graduate or someone who has been in a relevant industry for a while, the decision would more likely go to the latter, simply as they are better able to be the top dog at selection.
Don't worry about the degree subject, worry about the classification and where you do it.