Two experts disagree with you. They say the landscape favors the players.
They say the players have easily won 2 out of 3 "major" arguments. Granted, the two experts said that the 3rd argument (the one the owners have an edge on) COULD prove to be the death blow to the players' case, but that the overall "landscape" of this case seems to easily favor the players based on many factors that are legal in nature.
Link to the interview: http://www.cbssports.com/nfl/story/15057594/experts-say-players-case-is-stronger-but-nfl-could-win-appeal
Because the NFLPA decertified, and because they have not been supported by (nor have they supported) a union since decertification, this is all an anti-trust case and not anything to do with "labor laws" that the owners are trying to frame with their arguments.
Furthermore, in the interview I linked, the two experts said that the 8th Circuit only has to decide whether Judge Nelson's ruling had a legitimate basis to stand as she had ruled it. Refer back to the previous paragraph of my post, which states that this is not a labor law case but is an anti-trust case. upon those merits, the owners lose and the players win.
Whether the decertification of the NFLPA was a "sham" or not, and the owners are crowing that it WAS a sham (just as they did in the previous lockout situation) has no merit, either, according to the two experts interviewed by CBS sports commentator Clark Judge. They said that this recent decertification is much more genuine than the previous decert in the last lockout situation. Furthermore, there is nothing "wormy" about the decert by the players. It's smart AND legally OK to do it.
The players are proving that the owners colluded to squeeze them into a bad situation--That this was a premeditated course the owners set everyone upon as much as two years ago (IIRC from the article I linked here).
Conclusion/recap:
As long as Judge Nelson didn't royally botch some important facet of her ruling, which I am hoping she didn't since it was like a 90-something page document AND she spent almost a month crafting it to withstand the 8th Circuit's scrutiny, then this is a slam-dunk case in favor of the players. The 8th Circuit, as I understand the two experts to be saying in the interview I linked in this post, cannot really entertain new, undiscovered evidence etc., they can only rule whether Judge Nelson was right or wrong according to the interpretation of the law. The 8th circuit, unless I have misinterpreted the linked story, is ruling on Judge Nelson's ruling.
Unless there's something buried that Judge Nelson ignored (either on purpose or just by pure accident) we have enough to say who should win and who should be the loser. So your assertion that we don't have enough to form an educated opinion is a little off, IMO.
Outside of the possibility that Judge Nelson botched a major item, her ruling should stand. If it doesn't, then I say the "activist" judge (in this case) would be the 8th Circuit. They would be the ones who are trying to be an activist court and circumvent Judge Nelson. The previous ruling should be so waterproof (no matter which way Nelson ruled on it) that an appeals court can't expose its flaws and overturn Nelson's ruling.
So if we're playing the odds, the players ought to win this 8th Circuit ruling, as well.