I said I don’t think it follows, and you certainly gave no support for the idea that it must follow. Logically speaking, it’s possible for improvements to continue indefinitely in specific domains, and never come close to AGI.
Progress in LLMs will not slow down before they are better at programming than humans. Not “better than humans.” Better at programming. Just like computers are better than humans at a whole bunch of other things.
Computers have gotten steadily better at adding and multiplying and yet there is no AGI or expectation thereof as a result.