Anyone in HR who works in the Media or Advertising industry is going to understand the nuances of different degrees relevant to those fields. And anyone in HR who works OUTSIDE film, tv, advertising etc. won’t care about the nuances- to them writing is writing. A distinction without a difference IMHO.
It is possible (and many have done it) to break into the film industry as a writer without a specific degree in the discipline. But the connections, ability to showcase work as an undergrad, adjunct faculty who are working professionals in film are going to be harder to develop in a generic creative writing program. And of course- the portfolio, internships etc won’t be specifically geared towards film.