I think you are wrong.
I think Cantabrigian's extracts are more valid and parallel with the short-hand rule I had previously heard: that 'the officials are considered part of the playing-field'.
The only exception to them being part of field is they dont cause an airborne pass to be a dead-ball (if they are standing inbounds) - it has to actually hit the turf.
It is on the players to avoid them and therefore you dont see a play re-run when one of the refs accidently "picks" a WR or a DB. The other team just gained a 12th player for one play is all (sorry, chum). So why would they re-run a play if a pass hit a ref?
I seem to recall (years back) one or two of TB's passes tipping off a ref and still making it to the wr (who might have either caught or dropped - can't recall). I do not recall any "RE-Do"s in those instances.