> some quadras "beat" others

The main advantage between types is when one has a function as strong and other one as weak, when an info and an activity has strong relation to that function.
All quadras are equal from this side.

Secondary advantage is when info can be more linked with one of E/I variants of a function and when one type has it as valued. The main application for this difference is interactions of people by IR theory. With other practical applications the difference in possibilities is lesser clear, - it may appear from better developed advanced skills and knowledge where a human has more of interests (alike Si types to know some more about good meal in shops and good recipes).

> (advanced socionics) (Model B)

it's not Socionics. just one of many hypotheses about Jung types. rather strange hypothesis