Further to td's explanation, there's a controlling circuitry in the Classic called PMC, I seem to recall. It's job is to fine-tune everything controlling the N1s and if operational the engines behave very gracefully.
BananaJoe somewhere near?
I.e. most likely in your scenario the PMC would feed inputs to A/T for matching N1 first, resulting in the stagger described and not the other way around. The governing input is the N1, not throttle angle.