The claim is as statistically true, or at least nearly enough, as it is irrelevant. Nobody compares their lot in terms of global poverty. Until we are governed by a global government we compare ourselves to everybody else in the particular nation we happen to live in.
In a country where ownership of two cows, seven goats and a well within a few minutes' walk is exceptional, a person in such a situation is well off and feels as such. In a country where owning a fairly recent model car is the norm, the person who cannot afford to replace their 14 year old jalopy's broken radio is not well off, and feels like that.
It is of no consolation to think that they belong to the 1% in global terms because the nation's government is not tasked with taking care of the poor in foreign countries.