That's just plain dumb, unless this is in one of the few areas that still have compensable "sick days", even then it's still not a caveat necessary for a day off.
That being said, while it would certainly be part of his jacket at UPS and would certainly be used against him if he were to claim a workplace injury to his back subsequent, UPS would still be prohibited from sharing that information with any other company or individual.
Can be "released" to the employer that is requiring the DOT physical, not future employers, with the possible exception of those requiring a subsequent DOT certification (I honestly don't know).
Bottom line is that I was suggesting it as a slapstick resolution to what is certainly easily remedied by this person telling the Company that they are no longer going to drive air.
It's really that simple.