I don't think either side is trying to change the basic structure of things. They just want a greater percentage. I'll give my reasoning when I have a keyboard.
Each item in the league's structure affects things in two ways: it affects the size of the total pie, and it affects how the pie is split between the owners and players.For the most part, the owners' and players' interests are aligned on the first issue: they both want to maximize the size of the pie. (There may be a few cases where that's not true. The players may want to play fewer games even if it means less money, for example. But
in general, if stuff like the draft and restricted free agency and drug testing will increase the size of the pie, the players will support those things as long as they are adequately compensated for them when it comes to dividing the pie.)
The lawsuit, including its outcome, doesn't affect any of that. No matter which side wins the lawsuit, the pie-maximizing practices of the league will remain the same. They'll be agreed to by both parties regardless of what happens in the lawsuit. The lawsuit will affect how the pie is divided. If the court says that the players are not entitled to completely unrestricted free agency, then the players won't be able to increase their share of the pie by agreeing to waive that entitlement. If the court says that the players are entitled to completely unrestricted free agency, then the players will be able to demand a bigger share in exchange for the waiver. But if restrictions on free agency make sense — that is, if they increase the total size of the pie — then the owners and players will strike a deal that includes restrictions on free agency no matter which side has veto power over such restrictions. It's just that the price will change. (This is kind of analogous to the
Coase theorem. Assigning certain rights to one party versus another party will not affect how their businesses are conducted as long as they can bargain with each other; it will simply affect any transfer payments between them.)
The players want the draft declared illegal
not so they can end the draft, but
so they can extract payment from the owners in return for allowing the draft. Maybe they shouldn't be able to do that. That's for a different discussion. The point here is simply that any talk about "the players want to radically change the game as we know it" is bull. The players don't want to change what works best for the league. They just want a zillion dollars — same as the owners want. Both sides are threatening to shrink the size of the pie (the players by enforcing antitrust laws, the owners by canceling the season); but those are threats they don't want to follow through on. They're just part of the game of chicken. (I've referred to this rigmarole as a game of chicken a number of times; but that's really what it is.)