Just putting a guess in here, before I go check if it is true:
Actually the ‘Houses’ have no effect, they are just the names of the different groups. In order to get a good rating, the members of each house should be as close as possible in Stat-space, or perhaps all be high in one stat (still experimenting with this). Since the early students were all placed by a functioning hat, each house had a well defining place in Stat space that it would carry on with. But since all current students have been randomly selected, we don’t have to worry about this historical data. Instead, we should try to get the new students as close as possible to the randomly generated spot in Stat space for the current students. As such, I think Serpentyne might become the new House of Integrity. (I do believe a strange thing like this is also happening in real life, and is one of the main ways that political parties gradually change their positions in Stat space).
Yup, that sounds about right. In Denmark, which have a proportional representative parliament, there recently was a party that tried to combine (kinda-) libertarianism, including support for a UBI with anti-immigration policies. It fell apart after a few years, since that quadrant of the political phase space did not have enough voters for even a small party.
Also, there are parties who goes for the middle of the road. They just cater to the segment of the population who like to see themselves as moderates.