No, of course it fucking wouldn't.
So now we know what's more important then football: nothing. Not even death. I'm sure that Crennel and the Chiefs players want to play... but they shouldn't. Just like in every other profession, your place of work would be closed the day after a tragedy, since it's still a crime scene, for god's sake. The NFL has to be the voice of reason here.
In 1963, the week after John Kennedy was killed, the NFL played its' full slate of games to massive national criticism. Legendary commishioner Pete Rozelle called it the greatest regret of his career. Well, congratulations, Roger Goddell: by allowing a meaningless game to be played the day after an employee kills himself on your property, you're finally in Rozelle's class.