I did not doubt that at all
What I said is that "GDP PPP" isn't the metric to use if you want to see if a country is rich. The correct metric to answer that question is "GDP PPP per capita". The "per capita" part is Latin for "for each person".
Why is it so? Because without the "per capita" part, the number of citizens in each country is what matters a lot. To give you an example, Switzerland is 40 on "GDP PPP" but 9th on "GDP PPP per capita". This (roughly) means that the average Swiss is wealthier than the average citizen of almost any other country - but because Switzerland is a small country it only gets to 40 on the other ladder. In contrast for example, Nigeria is in the 24th place in "GDP PPP" but only in 119 in "GDP PPP per capita". That (roughly) means that the average Swiss is 12 times wealthier than the average person in Nigeria (based on their respective per capita incomes).
https://en.wikipedia.org/wiki/List_of_countries_by_GDP_(PPP)_per_capita