I think he's probably salaried, so should salaried personnel traveling abroad, never get to relax? Imus didn't have to play it on the air did he? It said he called Imus, it didn't say if it was a formal interview or not.
Your hypothetical question is specious. What he does on his own time is up to him. He knowingly went on the air intoxicated and that is atrocious judgement.