A 30 cal is hardly a smaller caliber.
You don't need premium bullets BTW, but if it makes you happy, go for it. Before I switched to 155 Scenars, I used Sierra 165 grain hollow point Game Kings, and they were absolutely deadly on mule deer and elk. The reason I switched was that past 5-600 yards the 165 HPGKs started to really get blown around by the wind, due to their profile, whereas the Scenars shot tight groups at all ranges.
In the 80's I killed 6-7 elk with the 150 Sierra GK and a 270. Will that bullet kill elk? Yes. Is it a good elk bullet? Nope. That's a distinction most don't get.