No, I mean, I'm native in Chinese and reasonably literate in classical Chinese, and my assessment is that ChatGPT's understanding and generation of classical Chinese leaves much to be desired.
As an aside, if your reading of the Tao Te Ching does not include possibility of transcription errors, borrowed homophones (words with same sounds at the time of writing), etc. you're probably not exploring the full extent of the intended meanings of the original author(s). ChatGPT does none of that.
It's possible that ChatGPT's training data includes a couple translations of Tao Te Ching, in which case I'm not sure whether that better or worse in terms of results.
ctext.org is great though, no question about that. I've been using it for decades..