Well, actually. That's all true. It came out in 08, during his campaign with Obama.
Biden did receive 5 deferments and was disqualified due to asthma. And he was a wide receiver in High School. He also played college ball with the Deleware Blue Hens.
His nickname was Dash.
Not because he was so fast, but because he stuttered. They were mocking his stutter.
But to the asthma deferments and playing football. As someone who was in the Army, I can assure you that the Army takes asthma very seriously. When I was in basic, someone had an asthma attack. He'd lied about not having it. He was gone the next day.
You see, unlike football, if you have an asthma attack you can't go sit down on the bench and take some meds. You have to keep going. And could very likely be in a situation where you don't have access to your meds at all. And now your platoon has to drag your ass along with them.
So, yeah, it's very possible to be an athlete in high school and college sports AND still be disqualified for military service because you have asthma.