The ordering is an accurate picture of the procedure. Usually the Culture and Leadership rounds are merged.
The Social Economic Justice round is around how well aware is the individual of injustices taking place and what are their opinions. ThoughtWorkers are highly opinionated people, especially politically. This round helps us gauge the level of awareness the individual has.
Many people in past have voiced their hesitation in this round, but almost all are quite impressed at the end of it.
Also, I'd like to know what "Social Economic Justice Round" is. Is it a round where you preferably hire people belonging to socially and economically backward classes, and only hire otherwise if no people from aforementioned categories are available?