Do I understand correctly; that humans ate first the bigger animals to extinction and moved to next smaller ? Isn't this counterintuitive? Bigger animals need better traps and (killing) tools while smaller ones can be catched by hand and can be choked ?
If I had to choose between a moose and a rabbit to hunt, I would go for the cute little bunny.
But don't take my choice as guidance, I grew up and lived in city.