No, there are still only SOEs and TVEs in China.

Yes, China did privatize - especially between mid-90s and mid-2000s - and their privatization was actually the biggest in the world (as far as the number of privatized companies was concerned).

When China privatized its companies, most of the companies were privatized via a "loans for shares" program.

When China privatized its companies, they mostly ended in the hands of foreign owners.