You are right. It should properly be referred to as the right of assembly.
If I'm in the workplace and someone tells me I am not allowed to gather with my fellow workers and to organize our collective concerns I'm going to ask them if we are in Communist China.
Hmmm... that is exactly what the lefty unions in Wisconsin said. Some how those “rights” including forcing the taxpayers to pay 30 percent more for the union members health care than market prices -— to a union owned health insurance “company”. That represents hundreds of millions of dollars bilked from Wisconsin taxpayers and forwarded to Democrats to gain even more political and financial power.
What you call “rights” of association in our state were PROVEN to be abuses to the point of collusion and thievery. Perhaps Illinois will show the country what a state collapsing under assault by public employee rights looks like.