Hi lalalonglegs,
I think your company is being pretty shortsighted. Any staff I hire or interview for work experience we take on is entirely based on the quality of the applicant. Not the subject of their degree.
Obviously this analagy breaks down when we talk about vocational careers like medicine and law.
I have had two excellent staff members with media studies, one rubbish with Drama and English and one excellent with a finance background, not to mention several with no formal 3rd level at all. My work experience have come from all walks of life.
We look for relevent experience, a history of working/volunteering in the industry, eillingness to work hard and ask questions. A degree is useful, it shows you can work at that level and you bring knowledge of a subject to your workplace.
I work for a national broadcaster and make TV programmes (NOT Science). I have a degree in Ecology, totally irrelevant to anything I am doing at the minute, one would think, but I have found it useful.
There has been a lot of debate regarding soft/hard subjects and I can see how this will soon escalate into soft/hard colleges, and when that happens the Degree system will break dow. We already have many applicants with excellent results, so for me Its all about expereince. And I do find a media studies background is useful, especially if its combined with a practical element.
I can't stress this enough, study something you enjoy. If your only reason for doing a degree is that you think you will get a high paying job at the end you will be mistaken, And who wants to spend their whole life working in something they hate.
If you enjoy a subject, you work harder, you get better results and your enjoyment shines through at the end.
And if you can't get a job at the end there is always teaching 
J