I've used all kinds of brass, including Remington and Starline. Have used both brands in .45-70 and haven't noticed any problems with either one.
One thing I have noted with Remington pistol brass is that it tends to be thinner walled. Brass doesn't have to be thick to be strong; for example, look at AMERC brass, which is very thick but soft and weak (don't use it; you are apt to have troubles).
The Rem. pistol brass is strong enough, but because it tends to be thinner, you can run into problems with bullet pull. For that reason, I often kept it off to the side for loading with lead bullets which tend to be a little larger. My experience with this situation is with .32 ACP, 9mmP, .40 S&W, and some .45 ACP.
Had a problem with some Rem. 8mm Mauser brass a while back. It had only been fired a couple of times and I started getting splits at the neck and shoulder. I annealed it and the problem went away, but I've never had a problem similar to this with so many cases in one batch after so few firings.
We all know that Remington is one of the biggies and we expect fairly high levels of quality from them. Even though I use Remington brass, it is not on the top of the list for me. The problems I have outlined above are enough for me to be disappointed in Remington as a premiere manufacturer.
On the other hand, I have some older .30-06 cases (marked "Rem-UMC") that I should have condemned a long time ago, but I keep firing in my M-1 rifle and they still hold up. I keep using them, thinking, "Well, if I'm going to be losing them in the grass at the range, I might was well lose these old dogs" but some are still around.