No there is absolutely no tendency to do that. The throttles are also perfectly placed and have only about 90-100° of travel if I remember right. They have adjustable friction but there is no concern that they will roll off when moving collective.
It´s very good to have the throttles on the collective in case of emergency particularly as the 222 series are designed as single pilot aircraft and are very good to fly single pilot even IFR.
I´d like to add that the 430 has a very smart "stick shaker" system on the collective which activates when nearing Q 100%.
Fly smart-Fly Bell
I can sence the regrets in Aesir words because his rotors turn in the "wrong" way theses days