Monopoly refers to being a sole provider. It is completely by definition monopolistic to take action to prevent a second provider from emerging.
Is it possible for them to have other strategic incentives for their action, such as preventing a type of competitor from emerging? Yes. And if you take the perspective that government is a uniquely troublesome competitor, it's understandable to feel extra strong about it.
But it's still monopolistic in context. A counterpoint to "competition from the government is uniquely unfair" is "having only one provider is uniquely unfair". One is from the perspective of a profitable $100B corporation, the other is from the perspective of the consumers.