Yup, that is basically correct. It is that forward cyclic which runs less pitch on the high airspeed side and more pitch on the low airspeed side (like magic - just where you need it) so the max rate of change of pitch is at the front (and back).
And yes one way or the other the disc will always have to make the equal and opposite force of the tail rotor - whether that results in 'tilting' or not depends on other stuff (height of tail rotor, CoG etc)
Off now, byeee...