I disagree for two reasons. First, there's lots of ammo that's non jacketed lead. Start with .22LR, which is probably the most common ammo.

Second, I didn't think the jacketing helps that much in either hunting or indoor range contexts. In hunting, the bullet mushrooms or fragments or disintegrates, dispersing it's kinetic energy through lots of tissue; that's how it kills. Disintegration means there are lots of tiny lead bits scattered in the meat. And at the range, if the bullet hits a hard backstop, it again disintegrates into even finer pieces, making lead dust.