I’m one of the rare white skinned ones. I don’t have any Chinese ancestry, and my Chinese language skills are still terrible. My naturalisation was approved due to my ties to Hong Kong (I’m married to a local, I’ve got kids going to school here, I work here and I own my home).
So it is most definitely possible to naturalise without having a parent who is Chinese. I imagine it helps but I wouldn’t say it was the most important criteria.