I guess it would help to identify what traits make certain brass "favorites". with handgun brass, my favorites are the ones that have slightly thicker rims as to not get deformed upon extraction and of course primer pockets that take just the right amount of force to seat a new primer, also needs to be able to have an extra long bullet seated inside without being prone to splitting.. rifles, I like softer brass that is easier to work and also less prone to splitting a neck when shoving a fat HPBT into it, I have found that PPU seems to be more workable than others without giving up the integrity for dozens of reloadings. obviously there is a pro and con to being soft, but PPU seems to hit that middle ground for most of my reloading. I could stop being lazy an anneal my cases properly, but I haven't yet gone there, but I may soon with 54R brass being so difficult to find. the differences in pistol brass are much less profound, only comes to play when loading obscure calibers that you really need to get the most out of the brass, or when dealing with cases that have totally different thicknesses, enough to make a difference, or cases that have strange characteristics like off-set pockets or thin case walls creating a lack of tension when using a normal sized die, or my least favorite, cases with a cannelure or an actual super-thick case walls half way into the case to prevent "set-back" and not allowing a different loading.
all in all, with almost all commercial pistol brass in the common calibers, you will not likely notice much, if any, difference in shooting characteristics unless it's one of the anomaly cases I mentioned above. some last longer than others before splitting, some are more prone to hardening and some deform the rim easier than others. just keep an eye on your "bullet-hold" and the force needed to insert your new primers and all should be well. I rarely even think twice about what kind of pistol cases I am using unless I am working up accuracy loads, and even then, I only care if the headstamps match and the thickness is appropriate for my bullet. I don't like to "create" neck tension with my crimp, it should have decent hold before the crimping step.
but now that we are talking about it, what makes a pistol case an "ideal" case for reloading in your eyes? I am jus curious what others desire in a pistol case and why.
all I am saying, is inspect your brass, pay attention to anything that seems unordinary and always work up loads properly while checking for over pressure signs. good luck