Do Chinese SOEs only hire the best of the best engineers? does it mean that the private only able to hire the extremely good engineers but not the best of the best ? I just wondering ..... or is there any other consideration for the Chinese SOEs to hire engineers? (e.g ethnicity, gender, age, etc)
It is really up to the individual to choose. I once read some internet posts asking for recommendations of employment. The general consideration is working condition, job security and payment. Working condition includes, office area, lab/office/factory equipments, working hours and working culture. Job security means the company doesn't easily disappear or being easily fired. I think SOEs at least in the aero and space industry are way better than "private" companies in working environment and job security, maybe and only maybe "private" companies can offer higher salary.
My personal thought is that if you have an invention or the inventor invited you to build a new business as a partner or founder, you will go for "private" hoping to be one of Elon Musk, otherwise you go SOE to climb the ladder, at least you got well paid instead of risking to be a failed hero. How many people are in the first group? You see the answer. The bottom line is most people will choose big company that has a lot of work to do instead of a risky startup company whose future is uncertain. After all, there is only one Elon Musk, SpaceX' engineers being there are for the same consideration as if going to Boeing or NASA labs.
You should be worried about "private" companies having other consideration like gender and age instead of SOE because "private" companies are more free in not following principles or even skirting the laws. Ethnicity is not a thing in China than in the west because ethnicity is only a thing in the registration not something different in how we look, speak and behave.