I don't know what the players want, but they seem angry. More angry than the issues seem to dictate. This is why I think the PA is still harbouring grudges from 2005. They are mad as hell, but I don't see anything worth being mad about.
If they want a recalculation on how HRR is calculated to reduce escrow, they shouldn't be that angry. Owners will demand the revenue split will stay at 50/50, and the way it happens for them doesn't really matter. If the players can propose a system that takes Escrow out of their contracts, but keeps the 50/50 revenue split, then I assume the owners would be fine with it.
I guess they could argue for an expansion on the definition of HRR? But they don't seem to be banging the drum about that. Regardless, The owners wanted to make some tweaks to HRR in 2013, so I assume there is a give and take possible here.*
If they want the Olympics, well, the NHL made it clear they're fine with going to the olympics, because they offered it to extend the CBA.
I guess they could want to change the way 2nd contracts/team control is dealt with, but what would they bargain with to reduce team control a year or two?
In conclusion:
THE NHLPA DEMANDS MORE WHALES!
*SI Article from 2013:
They want to be able to subtract from HRR what it costs them to occupy their arenas and a percentage of their finance, support and general management expenses. That could mean millions of dollars taken from the available HRR to be shared by the players.
lol I can see why that didn't change one way or another for the players. If they push to include new stuff to the definition of HRR, the NHL will drop that bomb on them.