tmmorris - a bit harsh, I think. Mil ATCOs are too well aware of the lack of protection a MATZ affords, and I would suggest that a pilot who crosses a MATZ without calling the appropriate agency is showing an alarming lack of airmanship
That said, it would be a poor controller who approved a MATZ crossing but then hammered a pilot for not requesting an ATZ transit as well. Personally, I want position (assuming they're not already identified), heading, next turning point and level. If I need a restriction (eg - remain clear of the ATZ) or a change I will specify it.
Don't forget; military aircraft (trainers excepted) are painted the colours they are so that they are hard to see. The air traffickers know where they are, and can stop you from hitting one!