ILE is wearing Slytherin colors. ILE strikes me as more Ravenclaw or maybe Gryiffindor. Alpha as a whole, seems Ravenclaw (alpha NT) and Hufflepuff/Gryffindor (alpha SF).
Slytherin seems more fitting for beta ST, gamma types, or maybe some EIEs.
LII-Ne with strong EII tendencies, 6w7-9w1-3w4 so/sp/sx, INxP