I think it's a miscalculation to say they aren't signing because they are embarrassed about the optics of signing a lower deal. They still aren't losing money by not signing now, but may get a team that says "ugh its spring training, screw it, here's some more money please sign".
I don't think that will happen, but again, the sox and phils aren't going away. But I do think we will hit a point next week where the players realize nothing is going to change and their leverage isn't really working and the deal is reached.