I think I get it now. The first host is a small insect, probrably an ant. Then it moved to bigger hosts like the wasp and cat. This is a long process, that's why the Detective said there are an [unsually high number of dead insects in the room]. When this monster move to the next target, its old vessel split open in half and the monster will grow bigger while keeping a feature of its previous hosts. The cycle continues and that's why in the end it look like a big clump of different insect/animal parts.
About the girl, I think she's actually the real owner of this house, not the University boy. The story he tell the Dectective is a lie, it was the monster in him talking. I think the truth is, the monster eventually get to her cause she lives in the same house. Then it used her body and went to the party, take the University boy home, transmit itself to him via sexual contact. The rest is the begin of the manga where it hunt for the next host.
This is just my takes though lol.

The girl threw me off, like it makes sense if it was a linear progression from small things to animals to him, kinda like an isolated evolution
But if the girl was actually the previous host and he's the next, then his attic with the multiple animals wouldn't make sense