The only hope you have is to argue that the original Kirk's version was merely a self-justification, that his narration of the event is unreliable. I think Wrath of Khan clearly did not mean Kirk to be dishonest, and that your version is the silly stretch.
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.