I don't think this is a legitimate comparison.
The two players play totally different styles. Burmistrov is a Center who is mainly a play-maker. Nichushkin is a big winger who , when on his game, can drive to the net and cycle the puck rather well.
Yes, Nichushkin has had a very disappointing season so far. No goals is not ok. I think that him going back to Russia for 2 years actually hurt his development. He needed to use that time to get adjusted to the North American game and smaller ice surface. Instead, he ended playing on the bigger ice surface in the KHL. It was a waste of his time and now he is back in North America having to once again try to adjust to the NHL...
My point is him going back to Russia will not help his game in any way. He has the talent and upside to play in the NHL. Burmistrov never did. Therefore, Nichushkin should stay in the NHL and battle through this period. If he is waiver excempt (not sure), getting more ice time in the AHL would help. If he is not waiver excempt, then he is just going to have to suck it up and work harder and try to score an ugly goal to get his confidence back.