Most of the players have some leverage in my opinion.
For the Top 6 F, 4D, and 1G they would be fine for the rest of their lives if the all of the leagues shut down indefinitely.
The next 3F, 2D, and 2G would also be ok if the NHL shut down for a year or 2 as most of them would make around the league average of 2.4 million for an average career of 4 years. If you shave off a year (or even 2) due to a lockout, they are still looking at 4 million plus for their career and that is without going overseas.
The players that this affects most is the 4th liners, 7-8D, #3+G and all of the fringe players as some of these guys could have a tougher time playing overseas and may only have 1-2 years of NHL playing years and they are around the league minimum which is still more than what a lot of "normal" people make in their lifetime. Relatively speaking, this is where a little leverage is lost. Of course, it also affects some of the younger stars 1-to-2 years into their career. While the majority of players are in this tier, they are also the players with the least voice due to experience, talent, and leadership within their respective teams.