Did the achievement glitch on your account?
Did you start out on SuperSoldier Difficulty?
Did the Veteran 3/7 achievement unlock?
Did you access the tutorial from a new game or through the menu?
Prior to campaign completion, did you replay missions through mission select?
Only on my normal run thru, not on SS difficulty.
If it didn't unlock initially, how did you finally get it to pop?
Did you press the X button to skip cutscenes either at the end of a chapter or during a mission briefing?
Watched all cutscenes through their entirety.