I think a problem could be more from an executive or any employee really to be physically unfit for the job.
Once that bar is overcome any excess athleticism is not going to have a material effect on performance, or especially leadership abilities.
I think it’s the other way around. Give the average person an insanely high salary to spend on healthy food, designer prescription drugs and supplements, the ability to direct their own work hours, a great health plan and subsidized gym membership and see what happens.
You don't need an "insanely high salary" or "designer drugs and supplements" to be in decent shape. Stop being dramatic.
Warren Buffett and Charlie Munger seem like good counterexamples.
Absolutely. It should be built into a business continuity plan. Higher risk of death. I personally have trouble respecting fat/overweight managers or leaders. I worked for a really overweight CTO and he'd present at all-hands very often. The dude had to take gasps of breath to speak for more than 30 seconds and he was always incredibly sweaty, absolutely drenched.