80% (99%?) of what you hear about llms are from the first group, amplified by influencers.
I'm guessing people feel the productivity boost because documenting/talking to/guiding/prompting/correcting an LLM is less mentally taxing than actually doing the work yourself even though time taken or overall effort is the same. They underestimate the amount of work they've had to put in to get something acceptable out of it.