I say yes and no.
Imagine a 10,000gal 2/3 full of liquid and 1/3 of gas. The gas generated is from chemical addition and subsequent reaction ie the pressure increases. If a pressure relief valve is installed on the top of the tank and set to relieve at 20psi, is the system closed?
I say it is closed up to 20psi, beyond that, it's not.
Your thoughts?