Are hogwarts houses really just mbti families/quadras?

While i know Hogwarts houses are just some silly concept made to create engagement in the universe, i cant help but notice the similarities between the houses and mbti families/socionics quadras. So i'll try to describe how i see each house/family and the similarities, adding in some of my own understanding.

Ravenclaw: Alpha quadra/Ne-Si, Ti-Fe types, INTP, ENTP, ISFJ, ESFJ. A like for open ended exploration and curiosity (Ne), understanding and learning (Ti) and a general accepting atmosphere where people are accepted if they participate. Coziness and non-heated debate. Puzzles.

Gryffindor: Beta quadra/Ni-Se, Ti-Fe types, INFJ, ENFJ, ISTP, ESTP. More loud, brave and bold. Focused on proving themselves to the group. Be couragous and daring (Se). Focused on helping others and acting selfless (Fe) but also show off your own achievements and compete to be at the top of the hierarchy/respected by others.

Slytherin: Gamma quadra/Ni-Se, Fi-Te, INTJ, ENTJ, ISFP, ESFP. Ambitious and daring, rarely doubts their own abilities (Te-Se). Follows a personal code of conduct rather than accepted rules (Fi). Future focused. Resourceful and wants to be independent. Rarely participates in social gatherings and rarely forms groups based on fun.

Hufflepuff: Delta quadra/Ne-Si, Fi-Te, INFP, ENFP, ISTJ, ESTJ. Loyal and hardworking (Te-Fi). Present focused and responsible. Traditionalist (Si). Values fairness and earning your place through work (Te). Likes discussing new ideas for improvement and personal experience and interest. Focused on cozy and productive atmosphere.

What do you guys think? Can the types be seperated like this? Makes the hogwarts universe more interesting imo.