Exactly. All over the internet, you see guys who say that they'll live off the land after a major SHTF event. Truth be told, after a couple of months of people starving, there won't be anything as small as a squirrel left alive, much less a deer. Deer were wiped out in Indiana by the 20th century, and there are a heck of a lot more people living here now than then.
I agree there will be very few animals after a few months. But I also believe most of the people that plan to live off the land can't do it as it is much harder then people think.