Thus it's immediately obvious to everyone that he's cheating when he doesn't die or when anything not originally programmed in happens.
Well, not THAT
Adviser: How did that guy beat your test?
Spock: I do not know.
Hmm. Kirk is seen doing nothing, the lights go off for some reason that no one really knows why, than all of a sudden the klingon ships are disabled and go down with one shot. Why would their first impression be that he legitimately beat the test? Did IQs decrease over the centuries where we can't fathom the possibility of a system error? Cause that's what it looked like to me.