Of course, there are other change requests: Change a color here, store this information alongside that record, modify that output, etc. But even those changes can very quickly spiral out of control. Color models, database schema compatibility, pretty printing ...
No, I think the idea that LLMs take over programmers jobs is born out of a complete misunderstanding of both. Of course that doesn't mean that no one will try to do it. I bet people will even report success in doing it, simply because their bonus depends on it, but I don't think it will ever really work.
What might happen though is that LLMs replace many of the programs we write nowadays. After all, who needs a web browser when a LLM can give you a summary in natural language?