I shoot competition to the tune of 5000+ centerfire rounds a year. Not near what others do, nor what I would like to do, but still LOTS more than your average hunter. I have one gun that has specialized brass. My custom XP-100 in 6.5BR Remington uses Lapua brass that was purchased in a lot of 1000. This brass was sized, neck turned, primer pockets uniformed, trimmed, weighted, etc. It will consistently shoot 1.0" groups at 200 meters if I do my part. I have another XP-100 in 7TCU. It uses Remington range brass that was sized, primer pockets uniformed, weighted, trimmed, etc. It shoots 1.0" groups at 200 meters if I do my part. $.47 each or $.05 each. Both guns get the job done.
I have thousands of 38s, 357s, 9mms, 40s, 45s, etc at home. Mixed range brass all. For majority of my handguns, no difference in the way it shoots.
For my competition .357s I use same brand and lot of brass if possible. My FA has a lot of Starline Brass and a lot of Winchester brass that I use. Both loaded with exact load. NO difference in accuracy, felt recoil, sight adjustments, etc.
Basically what I am trying to say here; Most guns wont care as much about the brand of brass as they do about the way it is loaded. Range .357 brass in my Colt wont keep accuracy like my FA, but it doesn't have to to provide me the enjoyment I am seeking out of it.
Your hunting guns should be loaded with same brand of brass so you have consistent reloads. Your plinking and fun guns can be about any brand of brass and still provide you the level of accuracy and enjoyment your gun is capable of providing.
Don't spend lots of $$ on expensive brass. Buy the range and once fired brass and spend lots of $$ on more guns to shoot it with.
Steve