The sideslip in either case is a very small part - the main element of recovery being the addition of maximum power - this will counter your RoD only in the early or incipient stages of VRS - if you are in full VRS it will just make things worse.
No sir. The main element of the VT IS the sideslip, produced due to the bank and the tailrotor thrust. As soon as the blades reach the upwind part of the vortex, the recovery is completed.