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I may be misunderstanding the connection with the availability heuristic, but it seems to me that you're correct, and this is more closely related to the Dunning-Kruger effect.
What Dunning and Kruger observed was that someone who is sufficiently incompetent at a task is unable to distinguish competent work from incompetent work, and is more likely to overestimate the quality of their own work compared to others, even after being presented with the work of others who are more competent. What Viliam is describing is the inability to see what makes a task difficult, due to unfamiliarity with what is necessary to complete that task competently. I can see how this might relate to the availability heuristic; if I ask myself "how hard is it to be a nurse?", I can readily think of encounters I've had with nurses where they did some (seemingly) simple task and moved on. This might give the illusion that the typical day at work for a nurse is a bunch of (seemingly) simple tasks with patients like me.