Regardless of tone, leaders being corrected in front of others carries an undercurrent of antagonism, and can develop into outright hostility. This happens with leaders of animals and alphas as well.
Challenging their assertions is a step away from challenging their leadership and authority, especially if you do so repeatedly.
Leaders are often hard to get ahold of privately, because of how many people they deal with, and usually sycophants and well-connected supporters are prioritized for these meetings rather than someone who disagrees on substance
The best you’re gonna get is if you’re a sponsor or a fellow leader who offers them to come on your show, or you come on theirs, and debate.
No matter how respectful your tone is, you can’t challenge them unless they’ve agreed to debate: https://youtu.be/Mwe91SXEyaM?si=sI8dzC9YTQzAPbmu