You can leverage the baseball or basketball player to get a batting average or shooting percentage of 1.000 in game winning or game tying situations. You don't get to do that with the football player. Also, football teams convert one yard situations at much higher rates than baseball or basketball teams get hits or make three pointers
It don't matter the percentage or which one is more difficult .
When a football team punts on 4th and 1 at there own 11 yard line 100% of the time it really don't matter what the perceived odds would have been on making the FD by chance .
Football teams have 4th and 1s in almost 100% of there football games.
Basketball teams in many games have games where a 100% 3 is not even important.
And the most important advantage that you probably did not even think about is not just 4th and 1.
If you get 7 yards on first down and its 2nd and 3 all you have to do is give it to the running back 3 times for a 1st.
Or if it's 3rd and 2. Two 1 yard carries for a 100% first down .
The 1 yard RB has many more used other then 4th and 1.
The 1 yard running back is the only one of these 3 fictional players who serves more then one function .