No - with whom would they negotiate?
With whomever it is said governing body would be negotiating with.
We already know the players never get listened to. Mainly because they put their case so badly, to be fair. So many of them think the way to win an argument is to shout & holler & get angry, a method which would never win an argument in a month of Sundays
An organized player's union could put a case forward with one, considered, calm voice. It would carry much more weight than individual complaints and in the abscence of a governing body, seems, to me, better than nothing.