my experience, thus far (was hired, but haven't recieved the final paperwork confirming everything), was this:
was interviewed by Trans States Captains, my paperwork all said TSA (no mention of Trans States Holdings or Gojet, if i recall correctly), and talked to TSA's recruiter. i also was asked if i wanted the STL or RID base, and as GJ has no RID domicile, i'm assuming that's a good thing.
a friend that interviewed last fall about this time interviewed with TS Holdings, and they then called a day or 2 later to offer him a job, with Gojet. (he declined)
but i'd wait till flynavyj rings in on this, as he's just finishing training right now. he'll have a more current view on things