I 100% agree with this.
It would be cool if there was also some system on top of this that just blatantly killing everything can also be consequential to an area's population for an animal, or just flat out wiping them out from the area, it would force you to be smart on how much you hunt stuff. Would also make for a cool Nomad gameplay-type loop of following the animals wherever they go if one wanted. Would definitely make getting food more interesting, up until you domesticate some animals.