I don't know that I've ever heard of a "name of origin" given to the Chrysler power steering gearboxes in the past, just that it was unique to Chrysler products. It is my understanding that the Borgeson gearboxes are 2000s-era Jeep gearboxes, which have the "modern feel" (with less slop) than prior OEM Chrysler units.
In the 1960s, the OEM power steering gearboxes were usually more robust in nature than most which came after them. The GM800 series was the OEM box for GM vehicles. Same internals with different mounting lugs for different frame mounting orientations. The Chrysler OEM boxes were similar, best I can tell.
Steering gearboxes are usually "sized" by the weight of the vehicle they control and the needed "torque capacity" of turning the wheels/overcoming related resistance of tires and road surface tractional forces. Which can mean "robustness" is definitely an orientation. Which is why the Chevy Vega gearboxes were used on some "roadster" drag cars in the 1970s era.
In this orientation, I've been questioning of the smaller Jeep gearbox on a heavier C-body vehicle, at least initially. Then you consider the weight and tires on that "smaller" Jeep and it all can feed into the C-body orientations better than suspected. Also knowing that most "later designs" are usually "weight loss engineered" without compromising ultimate strength in the process.
The "beauty" of an aftermarket company is that they get to pick and choose what they modify to fit non-designed-for vehicles. A friend termed the Chrysler Borgeson gearbox . . . "A cop car steering gear with different mounting lugs on it". BTAIM
As to "Delphi" . . . there were many GM divisions which did work for and produced components for non-GM vehicles. In the 1980s, GM spun-off some of these prior divisions so they could "grow" in this area, in the future. Delphi resulted. Ford had Visteon. As a contractee, GM could also require "GM" be cast into certain housings, as before, as a part of the contract specs and parts design ID orientation. Just as "Delphi" could be cast into non-OEM items.
As I recall, Delphi includes Saginaw Steering, Harrison heat exchangers, and a few others. As they expanded their non-GM OEM businesses and aftermarket sales of OEM-level items. In some cases, mirroring or replacing some prior/later ACDelco items in the process.
The "bad" part is that as a contractor, Delphi then came under the same "competitive bidding process" of what GM wanted to pay rather than what it cost to produce the item. Which usually means new OEM designs which cost less to purchase by the OEMs. AND all that might imply.
Enjoy!
CBODY67