Seems like a great job. I don't know what the thought experiment analogy is...
The button pusher is getting paid too much. Imagine you're an author, and you just have to type garbage on the internet... and you are being paid 5 cents a word. The button pushing still pays more.
You could just type 'a' a lot. It IS a word and an article made up consisting of nothing but that would certainly be garbage. Anyways...
The thought experiment is simple. This job is easy. Even if you put in no effort and just sit on the button you still get paid very well. However it's being presented as repeated installments of one penny. As such some people will be skewed to either see it as not paying well or being too much work for a 'small' payout since the 'best' option involves massive amounts of furious tapping. Course stopping to think about said job reveals that you're basically being paid well above average to effectively sit around and play on a Switch all day and, if you're clever, even more since you could just set your bed up so that you're sleeping on it. But some people will ignore that in favor of 'higher paying' jobs. ---
I am the gentle hand who heals, the happy smile who shields, and the foot that will kick your ***! - White Mage