Lu,
Going back to basic helicopter aerodynamics the tail rotor pushs the helicopter to the right in addition to keeping the nose pointed where the pilot wants it to be. The rotor must be tilted to the left to counteract the right drift.
The pilot can move the cyclic to the left when hovering, or the designer can tilt the trasmission to the left or make the mixing unit apply left cyclic when the collective is raised. What ever way is used left cyclic has to get in there. The rotor will be left side low and most likly the fuselage will too.
Give it a rest Lu the tilt gets into the system one way or the other.
Forward tilt, if used, is to allow the fuselage to be level in forward flight. Some have it some don't. It has the effect though of raising the nose when hovering.
Fly the H-500 or B0-105 or BK-117 for a taste of no forward tilt.
I hope this helps.