You're right -- my last statement was a bit too much of a leap. In this case I wonder if it would have even mattered if a significant percentage of the workforce was unionized.
It might have. Unions are political forces. You get a few thousand people calling and screaming at politicians and news outlets to create a negative stink about it, maybe the company looks at other ways to make themselves more financially healthy. I'm not saying it would, just that it could. That's a big part of the appeal of a union, having a group of people with diverse backgrounds and experiences able to bring those backgrounds to the table to help in fights against management.