It's not the exclusive preserve of non-mil orgs to stall Comp cases. Having bust a gut to get a soldier from one end of Turkey to the other (during Op PROVIDE COMFORT) it was disappointing to hear that a VC10 at Incirlik wouldn't wait 5 mins for our arrival! Fortunately there was another one leaving a few hrs later - but that's not the way it should work.
Contrast this with the BA BAC One Eleven at Bremen that waited 20 mins in a similar situation, the German Air Trafficker who let us chat with him directly on Twr, then shoot an approach direct to the back of the parked a/c; and the Dispatch Clerk in Ops who filled out the flt plan to get us out afterwards - proving that it can work beautifully with a little help from flexible agencies!