Just a note - when you reduce the salt that low in your liquid, you are just soaking the bird in salty water. You won't get the desired chemical reaction of the saline equalization in the protein molecules that brining at the regular strength gives you.
I use a full-blown brine on pumped birds on a regular basis, and (heathenistic cook that I am) it works just fine. True, it doesn't pull as much flavor into the meat as it does on a natural bird, but it still works. Yes, I do prefer a natural bird like most members of this list. However, a number of the turkeys and breasts that we did over Thanksgiving for various people were pumped Honeysuckle Whites. I brined all my birds this year for between 12 and 24 hours in a basic formula of 1 gallon apple juice, 3/4 cup Morton Kosher salt (or 1 cup Diamond Kosher salt or 1/2 cup non-iodized table salt), 1 cup sugar (or blended white and brown), and about 1/4 cup honey. They were all well-rinsed and air-dried in the refrigerators for at least 8 hours before smoking.
Many compliments, good skin texture on all, succulent juicy meat with a tantalizing hint of a taste of apple and honey, and none were reported to be salty-tasting at all. I fixed that problem when I discovered that the Morton K salt I was using was "saltier" than Diamond K salt due to the shape of the crystals.
Therefore, my OWN conclusion based on preparing about 85 turkeys for roasting, frying, or smoking over the last three years is that, given the opportunity, I will brine and air-dry every bird I prepare, pumped or unpumped. True, you see more beneficial effect on the birds that started out unpumped, but JUST IN MY OWN EXPERIENCE , they have all benefited and gained flavor from the brine. I've never had a "mushy" bird.
Remember, this is just my own opinion based on my own cooking experiences. Your mileage may vary, of course... Robert and I are not professional chefs, caterers, restauranteurs, BBQ comp cooks, or anything else like that, so keep cooking and build your own experience base.
Keri C
Smokin on Tulsa Time (and drinking too much coffee... can you tell? /infopop/emoticons/icon_wink.gif )