I use most brands but do make sure the brass is in great shape and only use the brand I sighted in with. This year looks like it will be factory Hornady Whitetail as having a new defib put in and won't be able to reload.
A lot of the stuff I shoot, the brass is only made by one or two manufacturers. So I generally pick the best quality maker of the two and go with that.
If I had my druthers, I'd use Weatherby (by Norma) brass for EVERYTHING. It is MAJORLY high quality stuff compared to most anything else. As far as the garden varieties I'd pick Winchester, then Federal, then Remington dead last.
I generally use Hornady or Starline. Winchester sometimes, because they're the only ones making 7mm WSM. That's just what I buy when I buy new. I'm not picky about buying once fired brass, or picking up range brass.
Remington and Winchester are all I have. Perfectly fine for what I do. The last few years I haven't been shooting anywhere near as much as I once did. One box of shells lasts me a couple seasons anymore.