I disagree that they’re different really. They are trying to describe the same thing in reality, they just both get carried away in different ways with inflating stereotypes about the types.

There are only 16 types and the valued IEs in ego and cognitive functions are fairly straightforward and comparable to each other. While they aren’t the same word for word, the overarching concept is basically the same, there are 16 types with the cognition/values/strengths of their ego functions, and weakness/seeking of their inferior function or IE.