John,
In discussions about the Chinook...we are usually seeing the Aft Rotor System being affected by airflow coming from the Forward Rotor system....and I see the V-22 and A-VRS as being a different situation as the V-22 wants to roll off.
In the Chinook....if anything....the aircraft would want to pitch up (actually pitch down on the aft head.....resulting in a felt pitch up movement.).
During aggressive landings at high MAUW's....there was a thing we called "Falling Through" where the Aft Rotor system was less efficient and the aircraft would pitch up....requiring a nose down cyclic input....which now began to match the two heads up lift-wise....and the net result was a Chinook "falling". If there was adequate height....as the aircraft leveled....and if there was sufficient lift in the Rotor System....the landing could be salvaged. If not....the landing could be anywhere from merely embarrassing to really disastrous.
But that was not VRS or A-VRS as a lightly loaded aircraft could not be made to respond the same way.