I often have a hard time evaluating Scandinavian players just by stats, when I haven't seen them, but I do see a lot of - I was an average or below goal scorer, who all of a sudden has one decent season and comes to KHL right after...
Much like what we've talked about in Riga's thread, it's simply about money. Basically, bottom-half KHL teams choose to gamble on these one-offs and hope they are going to be the best that they can be instead of making a big investment in some "proven" scorer just to see him bust. It's not that those teams don't understand what they are doing, it's simply that they have little other choices to have a somewhat competitive roster.
And breakout seasons mostly happen when a player is put in the position to succeed, in any league. Once you have proved you can do that, be relied upon to fill a certain role, teams will look to insert you into that role but if your profile is still low that's where they try to save money.
That's why you see teams centered around young players be so successful in many leagues - because they save big moneys. So that's just a variation of that.