Tom Brady winning a Superbowl at age 42, and was an integral part of their success (he wasn't simply a bus driver)...to me that means that Father Time is not quite undefeated.
Brady defied the odds for sure.
And since your list includes some non-football examples, I think
Julio Franco was 48 when he retired, and he had a lot of success in his 40's. That's
old. Ancient in a major professional sport. "In some 637 games played after 40, Franco scored 181 runs while adding 409 hits. Of those, 72 were doubles, seven triples and 32 were home runs. Franco added 213 RBI and 21 stolen bases to his .245/.310/.354/.664 post-40 batting line." Impressive.
And
Gordie Howe is not only the oldest player ever in NHL history, retiring at the age of 52, he was also one of the sport’s most prolific and greatest hockey players of all time. 52!
And there have been a few 43+-year-old basketball players that had success late in their careers.
So, I'd say Father Time is
almost undefeated.