Method -wise, both are the same cheese but with different terroir and different size as stated above. In my opinion, what makes the quality different is the fact that Camembert ripens more evenly because it is a smaller size. This is why Camemberts are typically much better than the bries we get in North America. In addition, buying an entire uncut wheel is always better than buying a wedge of cheese (most of us cannot buy an entire 3kg wheel of Brie) because a cheese starts to die when it's cut and wraped in a different medium; in other words it starts getting off-flavours.
The ingredients are exactly the same, as are the cultures used. If you are going to be cooking this cheese, it really won't make much of a difference, and I doubt you'd be using a PDO raw milk Camembert or Brie for this anyway...