I can't speak for Verizon Stores everywhere, but they are at a majority of the stores in Manhattan. I was nervous after hearing that Apple stores supposedly weren't supplying them on launch day and I definitely didn't wanna wait for hours outside of a Verizon store for an iPhone case. The ones I went to this morning had Incipio, Belkin and Verizon brand cases. The cashier was also nice enough to bring out some from the back for me to choose from as well. And they're labeled as "new iPhone" as opposed to iPhone 5.
The Otterbox Defender cases also had "new iPhone" stickers from the video of the review on amazon. My guess is many suppliers guessed the name wrong and limited supplies may be due to them having to back and correct the packaging to reflect "iPhone 5" and not new iphone.