ElSupremo,
While you were reading law, many successful cadet applicants were studying engineering and thereby getting a better grip on maths and physics. The result is they tend to do better on the technical sorts of aptitude tests. You might do fine and get a sponsorship, but I'd bet more on those with technical/science/engineering degrees. Anyone can defy the odds and I hope you do. They are certainly more on the side of a degree holder of any sort.