I can't speak for OP's situation obviously, but in most union contexts a person on the bargaining committee is answerable to other members, subject to removal, and reliant on re-election. Some organizations have practices of job rotation or term limits to ensure no single individual is irreplaceable.

I have no idea what you are talking about.

All bargaining sessions are open to observation by all unit members, and have been since day one. Ten percent of the unit was elected by single transferrable vote (Meek Rule) to speak at the bargaining table. But that is just to keep the bargaining orderly; union proposals are drafted by any interested members. We keep them all in a Google Drive so anyone can check in on the state of bargaining. We also take extensive notes for members who could not observe in real time to catch up the state of bargaining.

Once the bargaining committee reaches a tentative agreement with the employer, the whole membership will have to ratify it by secret ballot before it goes into effect.

Where is the "privilege" in this system, exactly?