This is what precisely makes it a "government" enterprise.
That is illogical, if it's not managed by government bureocrats then it's not a government enterprise. Yes they get 100% the revenue, and they legally own it but that doesnt make it so.
That is like saying that if I had a corporation and pay 50% taxes on profits, that the government is 50% shareholder.
No, if they have private corporate boards, and CEO and they get their salary and bonuses by managing the enterprise then it's privately managed but government owned. So there is a distincition there.
However there cannot exist a government enterprise like the ones in soviet union, because there a government appointed individual controlled it, mostly very inneficiently and with big corruption. It would go bankrupt soon.