I think you’re wrong on TR being the most athletic former President; Ford turned down the opportunity to play in the NFL - he was that good.
Ford may have been the best athlete but TR lived the strenuous life for most of his time on earth. He loved to box in the White House against young Marines.
He would kill Obama in just a few seconds.
I have read that Eisenhower purposely injured Jim Thorpe in a dirty play while IKE was playing for Army.