I'm using it in the same way you likely are, I just think we have a different conception of how the state behaves. Essentially, depending on which aspect of the economy is principle, as well as who is in charge of the state, will determine which class is going to be represented by the state in disputes among classes.
In an economy dominated by private property and a bourgeois state, there is no real democracy for the proletariat. The state is fully under the control of the bourgeoisie.
In an economy dominated by public property and a proletarian state, the proletariat is in charge of where the economy is headed. The proletariat can sieze bourgeois property if it so chooses, the state can support labor unions, etc.
This is because whoever controls the large firms and key industries controls the economy in total, as all depending factors rely on them. As small and medium firms grow, the proletariat can fold them into the public sector, as market mechanics cease to be as effective and central planning becomes far more efficient.