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.
Now take your diagram and turn the helicopter through 90 degrees - tilting the disc forward gets the blades to the edge of the vortex just as quickly (if not quicker as you already have some forward speed).
The main element is pulling max power - that is what will reduce your rate of descent - the more you tilt the disc and the more you sideslip, the more you tilt your thrust vector away from the vertical which is where it will have most effect on your RoD.