Lets also look at beastmen in game that haven't summoned a primal yet
Mamool-Ja
Qiqirn
Those catfish ppl I don't remember the name of
Unsure if Tonberries would be classified as beastmen
The mammoth people in steppes
Goblins had alexander but they didn't summon it
Lupin we're currently unsure if are actually considered beastmen.