Good question. I've seen stories that suggest that Fisher and Kobe are willing to take 50/50. Since Fisher is Hunter's right hand man, I have to think he would be more willing to go that route. Therefore, I say that the league is being honest and that Hunter is doing his last gasp attempt at leverage negotiating by walking out of the room.
That being said, I don't think that it even matters who is telling the truth. 52/48 or 50/50 should be fine with either side. It's a matter of horse trading at this point. We'll give you the BRI split if you give us the mid level arrangement of our choice.
Or maybe the league can say that they'll stick with the dollar for dollar lux tax rule that's already in place if the player's agree to not allow teams to exceed it past a 2nd year meaning that you can pay the tax at the going rate and do it for 2 years straight provided you have enough expiring contracts to make sure you're under the threshold by year 3. This is good for the fans because the Lakers will have to make decisions now and not just stay above the tax forever. Take away the MLE as well and they're really screwed.
But the overall bottom line is that with 3 or 4 issues remaining, the liars need to quit lying and make a deal. Again, I have no idea who is telling the truth but whoever isn't, needs to quit lying because a deal is very reachable.
Lastly, I do think that Stern tried as hard as he could to make an 82 game schedule but that the arena managers told him that it would be impossible. Therefore, he has less reason to compromise right away. Knowing that 82 games is impossible, he can go back to negotiating for a couple more days and trying to get as much of a compromise as he can from the union. If they make a deal by Wednesday, you can start the season on December 2nd and from everything that I've heard, that's where the backup schedule comes into play.