Pretty much! If we really are the "sportsmen" (and sportswomen) we hold ourselves out to be, we should have some consideration for the sustainability of the creatures we hunt and fish.
In the total scope of things, ammo is one of the least expensive things about a hunt. I recall the breakfasts we used to have at a small restaurant at 5:00 am down the road from the farm where we hunted cost a lot more than the box of shells our whole party used in a day of hunting.
I'm pretty sure my guns didn't care whether I shot lead or steel. The birds were just as dead either way.

I recall reading recently in a brochure about raising American Bison (buffalo) the contention the eradication of the vast millions of buffalo in the United States was a planned result of a government program to deny a food source to Native American tribes in an effort to force them to vacate areas to make room for white settlers to immigrate and farm.
As real sportsmen, we must constantly be alert to various "wildlife management" schemes to discern the true reason underlying some of them which may have more to do with currying favor of politically connected agriculture, forestry, and mining company owners than of actually preserving the stock of wildlife. Even American Indian tribes seem more interested in getting new casino sites than in preserving wilderness and wildlife.