If we had kept our mouth shut about the death and the intel, there would have been a period of ambiguity that could have been exploited. The confusion itself may have helped us as operatives rushed to make contacts and clarify information.
We have never had a bigger A$$ as Commander-In-Chief.
It think it was explained/insisted to him that the leaking of an in-action on this intel was more damaging than authorizing a mission that failed or perhaps had US KIA’s or injured. Ultimately, decision based on which had best odds of increasing his chance for re-election. And as you correctly stated the American people, especially our extraordinary military and intelligence groups, were never in the consideration.