I found this mildly odd, well quite odd just wrong, Delta is the only one that doesn't seem to fit the pattern. Take Alpha and Gamma, the quasi-identity pattern does surely fit:
Slytherin is ILE & LIE, Gryffindor SEE & ESE, Ravenclaw LII & ILI, with Hufflepuff being ESI & SEI.
Novelty (EIE & IEE), Status (SLE & LSE), Coldblooded (LSI & SLI), Harmonising (IEI & EII)
I'm pretty sure this is based of Humanitarian Socionics where the energy theory and sphere of interests predict this. The question is why is the delta quadra flipped? It is apparent that the leader of the deltas is surely the LSE who leads and controls, SLI are the diligent mechanic, the harmonizers are clearly EII, with finally the opportunistic conniving intellectual being IEE, manipulating others as the Advisor.
Above all, it is pretty apparent that Humanitarian Socionics' LSE prototype is the Normalising subtype far more interested in stability and order; these types remain extroverted hence grabing leadership positions and authority as its part of the type's core values and mission. In contrast, the more assertive and domineering LSE are then mistyped as EIE. However, unlike actual EIE, they are neither introverted nor intellectual (heavily obsessed with ideas).
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