dClbydalpha
You are correct, the cap's width serves as the offset hinge, so your illustration does illustrate the hinge effect. I mistook it for a demo of a teetering rotor, sorry.
There are no 2 bladed articulated rotors that I know of, I'd have to do some thinking about why, it could be the coalescence of the blades lead-lag frequency with the rotational frequency
For teetering rotors the body does follow at a long interval, mostly due to the effect of trim forces and drag (as arm discusses).