The big difference I see in some of those you mention is the eye relief may be too short for stout loads, and the parallax setting for most 3-9x big game scopes is 100yds or 150yds, shotgun scopes are usually parallax free at 75yds, but for big game purposes, that won't likely make a big difference, at least not as much as if you were shooting for score.
The eye relief is the biggest issue. I have a Redhead scope that is touted as a muzzleloader scope, but I wouldn't put it on anything with any recoil, I put it on a 243 since the eye relief is so short, the eye relief is also very critical, has a small eye box, not great for quick target aquisition.
Tim