It actually does matter where you work. You want a no vote because you think it will give your union a stronger hand. Nothing wrong with that, it is in your self interest.
Unity while we are in negotiations is one thing. Unity after we vote on a contract is another issue. Every vote is based one way or the other on self interests. But once we as a group decide on a course of action then it takes all of us to achieve it. And that is what we as indiviiduals are deciding, which step are we going to take next. It is in your self interest to join a union and it is in your self interest to see that the union is successful.