It's been very well documented here over the years that having the same supplier doesn't indicate everyone has access to the same meat. This is true for steak, seafood (sushi), and, of course, corned beef and pastrami. See also: tired discussion of how anyone can make good deli starting with Vienna corned beef vs. Vienna Beef sign hanging on Langer's etc. Now, having a reputable meat man (such as Stew from Strangers with Candy) does signal a level of quality above the norm.
Prime is a small percentage of beef, but it's a huge swath within the world of prime steakhouses, as I understand it. Allen Bros. isn't selling Joe Sixpack the same prime meat that it is selling the Forge. I don't think they have stated otherwise.