Am I being thick? Why should he apologise before the ref has submitted his report?
If you've done something stupid and know it, you shouldn't wait for someone to tell you. Apologising is the very least he can do.
Also waiting for officialdom looks like you're trying to avoid the consequences of your actions. It also makes the club look weak if nothing was forthcoming as surely they must have insisted he acknowledges his error in the most public way possible.