As far as rotor design goes - with a teetering head, the fuselage just hangs under the rotor so you tilt the disc and the fuselage obediently follows it. When you add hinges (physical or virtual) you allow the blade flapping to exert a force on the rotor head which is fixed to the fuselage - the results are the same but the mechanisms are different.
The Lynx, with it's titanium flapping forging had an effective hinge offset of around 17% if memory serves (I used to instruct on it). The bigger this offset, the quicker the fuselage reaction to any cyclic input and the greater control power you are deemed to have. Having rolled, looped and back-flipped it, I know it is VERY responsive.
All that is familiar, but it is describing the dynamic response and analysing that is way beyond my pay grade.