Yes, and this is very exploitable by dictators and those wanting to become such. If you can't get people to buy into your propaganda paper you can at least get them to buy into nothing at all, detach themselves from any notion of objective reality, and accept all complicity with whatever war crimes the regime wishes you to commit.
The most dangerous situation for a dictator is to be faced with multiple independent and competing sources of truth that all disagree with you, because they will propagandize your subjects away from you quite quickly.
The most dangerous situation for a dictator is to be faced with multiple independent and competing sources of truth that all disagree with you, because they will propagandize your subjects away from you quite quickly.