CS maths is so insignificant compared to other degrees, which is why the industry considers engineers to be the mathematicians and the computer scientists to be the programmers. I didn't say CS was not the choice, but if you are interested in doing maths and programming electronic and computer engineering is a better choice for you (when I say we do maths, I mean 75% of modules every year has heavy maths, thats a course that does maths, not one or 2 modules in 4 years).
The thing is an internship is better than having those links. I know 5 people who worked at Sony in Basingstoke, 3 of which in their C++ research department, plus a few people at Lionhead studio, who have come out with confirmed positions before final year - Don't choose a course because of the links the course may have - you can make these yourself, just takes a bit of effort. Choose a course because you have interest in the modules you are taking. Thats how I ended up wanting to pursue gaming, not because I thought it was cool. If you are that worried about employment choose a sandwich course, 80-90% of my year were offered permanent positions on finising their placement year.