Ooh this is new for me, you had at the start of 2021 a bunch of GPU startup being funded in China. Moore Threads being the most promising one because them being ex semi guys.Outside the desktop PC and console market there are other GPU design companies. One example is ARM Mali GPU which is used in most Android smartphones and is designed by ARM Norway. Chinese investors also recently bought UK company Imagination Technologies which designs the PowerVR GPU family which until recently was used by Apple on their iPhones. Then there is Jingia Micro.
No, the problem China has is with the industry of tools and materials required for fabrication. Focusing on something like X86 performance is a misnomer since X86 is growing increasingly irrelevant outside the desktop market. It isn't used in smartphones, tablets, and the high-end server market is increasingly ARM based. Even then Zhaoxin has IP on X86 designs which are good enough for legacy applications.
If companies like Amazon and Alibaba can design their own high end server chips and fab them at TSMC what is the big deal with X86 anyway.
You also have Tianshu Zhixin preparing their 7nm datacenter gpu then there is also Jingjia Micro preparing a consumer gpu at around nvidia gtx1080 a 6 year old design and 2 generations behind nvidia current high end model the RTX 3080. Its not high end consumer stuff but a journey of a thousand miles starts with the first few steps.