everything from design through to coding and development
Again, it’s difficult to judge from so little information, but this sounds like the kind of degree that won’t really help getting a job in the industry as it’s too broad, and competition is so fierce.
I can only speak from the programming point of view, but the best graduates I’ve interviewed are always the ones with the comp sci / software engineering degrees. The exceptional ones are the ones who have also worked on games in their spare time.
I’ve interviewed a few applicants with generic games tech degrees, and none of them have got past the initial technical tests.
Not to dismiss your son’s achievements, but if he wants to work in the games industry then he’s at the stage now where it would be a very good idea to decide which discipline (programming? art? design? audio?), and pick a specialist degree that will give him a solid professional skill, and one that can be used outside the games industry as well.