Wow a good debate whole morning here bros, that's the spirit!
Avoid abusive labeling of others though, let's continue this sports!
We all know what is a POE, that has been existing since maybe stone age (except during the Soviet model during 1949-1978). You make noodles, sell them to travelers passing by, that's one form of POE. The most important characteristic is that you may make profit, or loose money, that's none of other people's business.
When your village needs to pave a road, wow that's critical (being the only one), no single villager has to right to do so without consent from everyone else. There are two ways, either pool tax money together, or form a village-owned company to run it. That came one form of SOE.
In our village, clearly noodle shops and the trunk road are very different things.
The magic word is "S", the state. So who is the "state" and hence owns the enterprise exactly? This might mean the tribal leaders, emperor himself, royal family, a group of people in control, or "all citizens", depending how the "country" is formed.
Alright, let's say it is owned by "all citizens", do the shareholders have a say on how it is being run? How?
What "all citizens", including you and me, are expecting from SOE if that company's business in within the country i.e. generating revenue from the people i.e ourselves?
There are many forms of market, stock is one of them. How the stock market play a role in SOE?