I don't think that very many players will ultimately make the trip. In fact, I predict that almost none do.
First off, most of the national federations (Hockey Canada, USA Hockey, etc.) do very nicely off development money from the NHL every time a player gets drafted. None of them want to see an end to that gravy train, so they'll play nice when the NHL tells them not to put NHL players on their national team.
The only renegade will be (surprise!) the Russians. Now, Ovi might go over because he is nuts, and is a veteran with lots of money in the bank. If you're a younger Russian player, though, looking down the barrel of losing 10% of your pay for the year and risking injury, are you going? Your agent will be telling you not to - bet on that. The injury thing is not an abstract either - just ask Tavares or Barkov, both of whom got hurt at the last Olympics. If you come home hurt, you won't get paid until you're healthy again.
Bottom line is that I expect VERY few NHLers to be there outside of Ovi and maybe a couple of other stray Russians...