Tinkerer's last poll had an option to add cat-girl and pig-girl "pets" to the Tower dungeon. In discussions on the Discord he said they would be the result of some mad wizard. So gatorbeasts, werewolves, and bat creatures might also. Not sure about minotaurs, Taurus seemed to have more going on mentally than the others. (Venomina is a special case.)
According to what Tinkerer has told me Were-Beasts arw closer in nature to Werewolf: The Apocalypse. They are born with the were-genes, but it's a bit inconsistent, some people are born werewolves, some are born normal people, some just wolves, some have the lycanthropy skip a generation. All share the Lycanthropy & it can be passed down & show up along the descending bloodline. Also the level of control on the shift is dependent on individual. Venomina, & the arachnophropy gene, is a "unique" case.
I wouldnt be surprised if most hybrids like Minotaurs (& by hyperthetical extension; Harpies, Centaurs & the like) are subjects of the Ancients doing their genetic tampering. We already know that Humanoids are considered "lesser beings" created by them, as we are told by LOCO, so makes sense they may be distantly related as well. Not sure about Gater Beasts(?) but the weird connection that Crustalizzed Eggs have with Ancient Tech dosent seem random to me. I wouldnt be surprised if their entire biology & nature was to manufactured in order to create living battery factories...
The poll just confirms that some Beastmen (if not all in one way or another) are most likely unnatural creations by other sapient races messing with animal/humanoid DNA. Imagine if Gater Beasts were actually created to be super soldier shock-troops but then escaped into the wild (like Fallout's Deathclaws...)