One summer I spent some time researching commercial hunting operations in SD. My dad, in his late 70s at the time, wanted to treat me, my BIL, and our kids to a hunt. My job was to pick the spot. As we all know, consistent success on truly wild birds on pubic land takes time to develop. So we were looking for something private/commercial. I talked to a lot of places. The websites frequently promised wild birds. That was their first answer when you talked to them on the phone--"yes wild birds." Press them a little and they admitted to releasing birds. I suppose in the lodge owner's head "wild" can be a description of their behavior or their current living circumstances, not the circumstances of their hatching. And in that sense, to the operator at least, it's not a lie.
We ended up with a native guide on Rosebud that year. I'm sure they were wild birds, but the experience was not what we were after. The next year we were with UGuide. I'm pretty confident that was wild birds, at least as far as UGuide knew. That experience was better, but still not exactly what we were after.
A couple years after that I started going up with some friends, DIY on public. 4 years into that now, and we're having more fun than ever. Far more fun than those two years we spent in the commercial space.
Anyway, I'd guess that SPUR's numbers are on the low side. There are pheasant ranches in Kansas that ship birds to SD.