No. I'd call the person who's done something similar before regardless of their qualifications. Experience is far more valuable. That's the point I was making - two people with 10 years experience are at the the same level regardless of their respective qualifications, because they'll both have seen the problems and pitfalls firsthand (at least, you'd hope so).

Possibly the CompSci graduate will have dealt with them better the first few times they encountered problems (which is why a degree can be useful), but after that it's down to the relative merits of the individual and how interested they are.