Vorticey, the Lynx and Sea King have rotors which rotate Anti-clockwise when viewed from above so your theory does not hold water. BTW see other threads for my thoughts on precession and rotors systems but don't ask Lu Z.
If the tail rotor was such a major player, each time you put an input in yaw you would get a roll in the opposite direction - in fact the opposite happens (eg yyaw left - roll left)due to changing the relationship of the control orbit to the direction of travel.