I get you mean chatGPT has solved the problem, but it feels as if its solved the problem without answering the deep questions. We still don't really get how the brain does it or the answer to any of the deep linguistic questions, instead we get two systems capable of language which no one understands. But at least its useful! So maybe there are natural language parsers yet to be written, for nothing else than to finally test our understanding of natural language parsing.
I assume we're done doing that, that task is finished ;)