If I knew the experimenter was trustworthy, I would not switch after the initial decision because there is no point to and definitely would for the $6 alternative. It seems very surprising that the median person needs triple to make it worth it to switch.
If I didn't know the experimenter was trustworthy (for example a street hustler in NYC), I definitely would not switch in the equal reward scenario and may even require 3x to switch because I would expect that they would only offer if my initial selection was wrong.
It seems reasonably likely the actual experiments failed to build trust in the experimentees and so are showing that reasonable decision making process. Given that the described process is very similar to 3 card monte, the experimentees would be primed to distrust the process.