I think you need to think some more. Search how many people there are in North America. 1 deer might feed one person for 1 week so basically that’s enough food to Feed everyone for a day?
Oh definitely. HG culture is hard! The skills aren't easily learned, and depend on knowledge specific to a region. What would really kill most of us is water issues.
It's not just about skills. The point, again, is that there is simply not enough game (or edible plants, for that matter) to sustain out present population levels. It's a difference of several orders of magnitude.
Look at some of the most successful historical hunter-gatherer societies, the ones that lived in areas that are naturally abundant with food - e.g. temperate rainforests with bountiful rivers, like Japan or American PNW. But even then, we're talking about the largest communities consisting of several hundred people, maybe a thousand - nowhere near our present population density.