I would say that said applicant is very clearly wrong.
Sure, there are a lot of people out there who exaggerate on their resume, but this has nothing to do with the existence of people who actually do know things.
I would say they are wrong too. But the PA ad is almost certainly looking for exactly that level of skill, while using words that sound like they are looking for someone who actually knows what they are doing. So when the guy writes a response to it acting like their requirements are absurd, he isn't crazy, he is just getting a different mental picture of the requirements than the PA people had in their head when they wrote it.