Chinese is a character-based language and is not the only reason why nobody does the Chinese word count. The Chinese word count’s main difficulty is that a text may contain not only a word consisting of several Chinese characters but also a sentence or a phrase that consists of several Chinese characters not separated by spaces.
Thus, given the current technology development level, only a person who understands the context and meaning of a text could determine where a word is and where it is a sentence. Although who knows, maybe in the future, computers will surprise us. But for now, it is customary to use the Chinese character count.