I have and still do shoot some premium and "semi" premium bullets, depending on your definition. Nosler Partitions, Speer Grand Slams and Barnes Monolithic bullets the ones I would list in the premium category that I have used. In general I find no problems with them, cost is a little higher, but for no more of them than I use it ain't a big deal. Will normal bullets work, heck yeah as long as they are designed for game, i.e. not target bullets or varmit bullets at deer. When you start to discuss either smaller calibers that are normally considered "varmit" rounds premium bullets tend to become more important/useful, or when you take a larger caliber and move into the higher velocity realms, .257 Weatherby for example, high velocity close range impacts can be tough on a bullet if not well constructed.