I would counter with "Not necessarily," Isaac.
Or better, that the mutual poles you posit don't always have to be far, far apart, at least to the point of being contraindicated.
There are wines made in large volumes that are still quite good quality. And besides, the idea of volume keeps shifting. When I go out on sales calls, I hear all different definitions:
"I won't buy anything from a winery that makes more than ten thousand cases!" [Oh, really? So...no Lafite or Mouton then?]
"If I see it advertised anywhere, it doesn't go on MY list."
"Well, (snif, snif), I'm not interested. This has gotten really commercial hasn't it?"
"Oh, that? No, no, no. You see it practically everywhere." [This was a wine that was less than four thousand cases total.]
"It's too popular for me to use." Quickly followed by, "I can't mark it up enough, because people know the price."
But there are plenty of good QPR wines out there. Some of them have even been known to get popular and to actually make money for the winemakers or owners.