> coding speed > the annoyance caused to an engineer

No one said productivity is this one thing and not that one thing, only you say that because it's convenient for your argument. Productivity is a combination of many things, and again it's not just typing out code that's the only area AI can help.

The argument of "coding speed not a bottleneck to productivity" is not in contradiction to "productivity is a combination": it even implies it.

Again, the context here was that somebody discussed speed of coding and you raised the point of not using any tooling with Notepad.