Kinda. But I think the current Chinese model is actually much closer to how the USA used to work when there was competition with the USSR. Closer than the US of today compared to the 70s and 80s.
Look at this list - all the big ones here which are state owned are investment banks, petro companies and telcos.
Everyone else on the list (mainly internet companies, BYD, gaming, and B2C sales/distribution) is privately owned.