It does not seem like you want to give any contrasting explanation so much as a thought.
Your 40% gap turns into an 18% gap. Further more libertarian economies don't look particularly exceptional.
Together this suggest that the differences in GDP are much more easily explained by existing wealth and foreign policy/trade, instead of domestic factors.
This may be interesting to you: https://en.wikipedia.org/wiki/List_of_countries_by_GDP_(PPP)...