Hi Sassy,
Tough question. Reality is, if they didn't ask for it, they don't need it BUT since he has to re-do the others anyhow, a police clearance only takes a few days. If he's handing the other receipts, if he has the police clearance and they say no - well it's only a few bucks and a few hours out of his life. But if they turn around and ask for it later (which is highly unlikely), then it will slow things down.
So, if it were me - I'd do it... but 99.9% chance they won't want it.
I can't wait for you to hear the great news!