As above, you don't leave any University with a barcode on your forehead that guarantees you a fantastic first job and a blissfully happy life. Top Law Firms are increasingly recruiting 'Uni blind' and therefore its the extra stuff you do at Uni that adds depth and breadth to your CV that will make the real difference - placements, internships, study abroad etc - and your ability to write a sensible application and perform at interview.
So Warwick is not going to give you any notable advantage over any other good Law School - because ultimately your future is up to you, and not the badge on your blazer.