When I was in basic training we never heard the term 'blowback' (is that an Americanism perhaps?) and the 'nose' most certainly did not rise with flapback. The clue is in the word itself, it is the disc that chages attitude.
Change of attitude is what the fuselage does as a response to where the rotor is taking it.
As alluded to by Henra - a teetering rotor drags the aircraft body around underneath it, so changing the relationship between the rotor disc and the fuselage (from control input, gust of wind or aerodynamic flapping) may take slightly longer but the fuselage attitude change still happens. As 212man says - it is the whole basis for changing direction and speed.
The bigger the hinge offset from the centre of the rotor mast, the bigger the lever that the rotor has to exert force on the fuselage so the quicker the fuselage attitude change is following a rotor movement.
If your helicopter during training didn't noticeably exhibit a nose up as you increased speed, it is probably because you automatically compensated for it by moving the cyclic - that means your instructor taught you correctly.