STW???
The context of the suggestion to not signing is one in which you refuse to sign your acceptance to a degradation in your current conditions of service...as opposed to voting yes or no on a union motion regarding a negotiated agreement which contains a raise in pay and conditions. Spot the difference?
If the vast majority of us don't sign whatever company "proposal" (read degradation to your COS) is in the works then whatever that "proposal" is (read degradation to your COS), the "proposal" (read degradation to your COS) will not affect those that don't sign.
Understand?