No one knows what exactly is going on. This could all just be a screen and this is how they want the script to be put together. Why would they wait for the 2nd day of the talks to make a proposal? Things are happening out of the ordinary now. For the players to save face in the PR part of this, to make them look better in the face of the fans would be to make it look like they conceded to the owners, espically since most people are on the owners side of this, it would look real bad if the owners were the one to lose.
I wouldn't be shocked either way what happens with this. It would not suprise me if there was a deal done tomorrow, just as it wouldn't suprise me if everyone came out and said nothing is done, we'll talk again later.
Like I keep saying, the talks are not being moved to New York just because.