The subject regarding sway/anti body roll bars, in what ever name you want to call them, is as I have stated, the most misunderstood, bantered around term in the old car/hot rod world..
I believe I have already stated that parallel springs and Fords early traverse mounted springs with the very short shackles, that Ford used up through 1941, pretty well eliminated the need for a sway bar.
A bar to limit/control body roll is a whole different ball game...
I recently had a first hand experience with the subject: I have a '39 convertible that is a highly modified car.. Fatman IFS, Posie rear springs and a late model powertrain.. I told everyone that worked on the car, that the object was to build a car that would safely cruise the left lane and 75 mph...
Upon the near completion of the car (are they ever done) I was disappointed with how the car drove, on curves the car seemed to be unstable, with a degree of "body roll/lean". I went to the fabricator that had installed the FatMan front clip.. In his estimation, everything was "spot on".. I took the car back to the front end shop, the alignment was correct.. I crawled under the car, looking for anything out of the ordinary.. The only thing I noted was that the front end did not have a torsion bar to control body roll.. I called Fatman, was told the car should have had a 1" bar.. I went back to the original fabricator, asking why the car did not have a bar to control body roll? He told me.. "It was his policy to always install a bar on the front" someone must of removed it!!! Ya sure..
I went to another "Hot Rod Shop", second opinion, the car needed a bar to limit body roll... This would stablize the body on turns, etc.
I called FatMan to order a roll stablizer bar for the front of my car.. The customer service guy told me they did not carry such an item, they had "sway bars".. I asked for a description of the bar they carry.. A one inch bar that attaches to the frame with flexible links to the control arms.. i.e. a bar to limit/control body roll... I purchased the "sway bar" it will be put on next week...
There was a very good article in Street Rodder Magazine several years ago about this very same subject...The article highlighted all the confusion that persists about what bar does what, and the confusion with their names..