Tilting the the rotor happens, but didn't we establish in the earlier thread that there is also a main rotor head roll couple owing to offset blade hinges and that this could be very significant.
that would be the effect of control power - it just means you have to move the cyclic less to achieve the required lateral MR thrust and the hinge offset helps roll the fuselage.
Regardless of MR hinge offset, from nil in 206, a tiny bit in R22, more in articulated heads like Gazelle to 17% effective hinge offset in the Lynx - they all still hover one skid lower than the other.