I fully agree that time preference plays a major role in pollution. Single use plastic items littering the oceans and streams. As you said, companies cutting corners everywhere.
I think another issue might be the legal enforcement that companies NEED to maximize shareholder value at all times. That might be an overlooked benefit to a free market.
In the case of hunting though I could imagine if everyone with a rifle decided they wanted venison one year we might accidentally wipe out the deer population in a single season.
The disturbances in the market caused by fiat are the cause of all kinds of shortages. They might also be the cause of animal depopulation. That might be worth looking in to. For example, in the US the government paid people to kill buffalo. Possibly to starve out the natives, but also likely to make sure the population needed assistance.
So much history to unpack 😮💨