Here's the problem. there is no information to support your supposition. originalKirk never actually narrated what he did. We have no way of knowing exactly what measures he took to win beyond the vague statement that he "change the parameters". Your wishful thinking does not translate into fact. And this silly "Kirk didn't believe in the no-win scenario" so he wouldn't program the computer generate Klingons to have a no win chance is beyond moronic.