Disagree with what?
For several airframes, the USAF does contract with civilian providers for training rather than go through the expense of developing its own training program (Global Express, 757, C-12, etc). In many of those cases, the USAF contracted training is equal to or in excess of what the provider offers to civilian customers for type ratings and/or ATPs. Several of the providers offer the type rating to the military member at no cost to the government, and in those cases, all the military did was not say that they couldn't do that.
The military didn't send you to get an ATP, to improve your civilian ratings, or even to experience civilian instruction so you could return to your unit a smarter person. They sent you there for IQT only. If that ATP would have cost any additional money to the contract, additional days in a TDY status, etc, the answer would be no in most if not all cases.
That scenario has nothing in common with going to a CC and asking for a PTDY so that you could go get a type rating not related to your primary MWS. I think it's worth a shot for him to ask, but that has nothing to do with your scenario.