I teach product management at a public German engineering school, where I am a professor of computer science. Product management is my nod towards “business informatics”, otherwise I only teach engineering courses (and one general how-to-perform-research class).
There is an old debate as to who makes better product managers: M.B.A.s or engineers? Having worked on both sides of the fence and having gotten both degrees, I can confirm that as so often, the question is wrong: A hiring manager for a product management position needs to focus on skills and attitude, not on degree credentials. The degree may be an indicator of such skills, but it is not a sufficient indicator.