Kolo said
I would love to have this and think it'd be workable if the web was "centered" on a single cat and extended out to show their friends/family/partners and any relationships between those groups.
So just the friend and family lists in visual format. That would be fun! Having the visual of the cats and not just their names would be great (i forget my cats' names all the time gjsmjqqm). But it won't be the overall view of the village's relationships as I assume OP wants.
I still think some polycules will make things tangled around but hm, worth thinking about