I would phrase it as "LLMs are good at big picture stuff and bad at fine detail", or to put it another way, they're accurate, but imprecise and with low reproducibility.

It is my experience that it's the opposite. LLMs are very very precise but wildly inaccurate. They might give you 17 significant digits but be off by 10 orders of magnitude, to use a metaphor.

But where does that leave us when programmers treat themselves as architects with the AI doing the drudge work? As seems to be the fashion.

It then means you have 2 parties focussing on the big picture and no one focussing on the details.