That’s a deceptive analysis because catch-up growth is easier. That’s why the Asian Tigers could grow at breakneck speeds, right until they caught up to Western development levels and stagnated just like everyone else.
Small base growth is easier (that’s the example you give), but catch-up growth in large economies is damn near impossible.
This may be interesting to you: https://en.wikipedia.org/wiki/List_of_countries_by_GDP_(PPP)...
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.