I think (as is so often the case with preprocessed meat) it will often depend on who you buy it from. I often buy kosher prepared birds (which are always pre-brined salted) and I've never had any complaints. The nice thing about kosher preparation, is that it is done according to very specific rules, under strict supervision. It's not a factory process.
On the other hand, I cannot abide the brined birds from major poultry companies. Their primary goal is to increase the weight of the bird, not the flavor.
Factory prep seeks to minimize time and cost. They will use cheap ingredients (largely just water and salt, with no added herbs) and they will use whatever process takes the least time, most likely injection, which has the added benefit that they can force more liquid (and therefore weight) into the meat than would normally come from absorption. They'll likely insta-freeze it, so wait time is probably not an issue, but freezing causes its own issues.
I would say, for best results, take your time. A nice leisurely soak, real salt, and no pressure on the meat. For best results (talking turkey here) look for "Natural" or "Minimally Processed": if it says that, you shouldn't have to worry about competing additives.
Can't speak for Atlanta, but up here (Canada) when I am looking for a meat that a supermarket doesn't carry (like goose), I go to the local butcher. My butcher brings in a very good selection, and otherwise usually knows of more sources. Also good places to check are local farmer's markets.
Edit: Adding to an old answer as I've come across another additional thought. Another place that might be worth checking is the farms themselves. It's becoming more common to have farms that sell directly to consumers. Around here there's quite a few. A quick Google for "goose farm yourlocation" might be a place to start.
Best Answer
No. The fat content of goose, like most waterfowl, is very high. This makes it unsuitable for brining. Brining is intended to bring moisture to meats that tend to dry out, such as chicken and turkey.
See my answer to "What are the basics of brining meat?" for more details.