Winchester and Remington aren't what they used to be. Federal isn't much better (arguably worse in some ways).
If cost was not a factor and I wanted to stock up on brass, I'd be looking at Lapua and Norma.
For .223 Rem, specifically, I'd just track down a bunch of once-fired Lake City brass (preferably all the same lot) and call it a day.
Beyond that, I'd prefer PPU over Win, R-P, or any of the Federal brands.
Thee's an internet rumor going around I've seen in a couple forums, that Winchester and Remington are getting out of the business of supplying brass to reloaders. Can't confirm that though...
It's not a rumor.
It also isn't, necessarily, true.
Remington has told multiple distributors and high volume customers, multiple times over the last 4+ years, that they will not be intentionally supplying the component market (other than primers) until increased demand for loaded ammunition subsides. They are not 'leaving' the market, they just aren't supporting it for the time being.
They even had a public press release on their website in 2014.
The press release was long-winded and convoluted, but the bottom line was:
Loaded ammunition is more profitable and a larger market.
Components (bullets and brass) will not be intentionally produced, but some over-runs may be released when available. (As just happened with some .224" and 6.5mm bullets in early April.)
Winchester hasn't officially announced anything, as far as I've seen, but they do seem to be following the same path.