No you see only capital is allowed to bargain with the government, labor is not allowed to for "reasons" that somehow always seem to benefit capital at their expense.
It's way easier to understand when they just want to attack labor and absolve capital, it really is that simple for 99% of the discourse you read online.
The protections offered to unions goes far beyond standard freedom of association. Generally I think that is okay, but not in the case of public unions.