Do you really think the average hunters and anglers call 100% of the shots now? That's the real fallacy if there is one...we don't and haven't for a long time.
As to your last paragraph...I don't think habitat is the limiting factor in many cases, in some, surely. I also think that's a great long-term strategy to "build the bigger pie". But, currently, we don't even have enough berries growing on what we already have for habitat to worry about baking a bigger pie. Why don't we try to get big-game numbers up to the point we're utilizing what we have, while at the same time, doing habitat improvements? I'll tell you why, economics is trumping proper wildlife management. There is no doubt in my mind, we have depleted big-game in much of the West via prioritizing economics wayyyyy more often than anything to do with degraded habitat, access, etc.
Also, increasing access to places where we currently don't on public lands...may make the situation worse. Killing what's left on inaccessible public isn't making a bigger pie, its eating the last slice.
The perception is real, and in this game (as you well know) perception is king. And no, I think right now, at this point in time, we have the political management of wildlife. For the 20 years I lobbied, we had political management of wildlife in both the states I worked and at the federal level.
I like the berry analogy. Totally stealing that. I'm for all of that, but I do think increased access leads to spread out pressure, which could lead to more widely spread out animals outside of the secure areas so we spread that pressure out. I don't think access is the issue when it's tag allocation that promises the population objective of our dreams.
We like to bitch & moan about predators, but the biggest factor on these populations is humanity, both in terms of screwing up their place to live, but in over-allocation of the resource - i.e. generous seasons.
We have the tools to manage all land - private and public - much better. We'd rather ensure the ability of some folks to buy a third yacht over investing in our country though.