While thats a great attitude to have. I do think a healthy competitive environment is important. The stronger the studio the stronger everyone gets.
If you have a rock star designer throwing up 5 extra awesome sketches every class. And you usually do three 3 extra. Well in order to outperform yourself you only need to do 4. Well guess what you just got beat.
A competitive atmosphere pushes you further than you though was possible. Sure you may be up to 3am getting it done, but in the end you got it done.
You can out preform yourself, or you can push yourself to areas you didn’t think you could go. Because in the end, when your getting hired, its not you against you. It’s you against every other industrial designer (applying to that job) out there.