When Chrysler finally did put a rear sway bar on the B-bodies circa 1974 (Radial Roadability Package on '74 Road Runners, for example), the front bars still looked to be the same size as before. No issues with oversteer as there was already enough understeer built-in to not cause issues . . . at least nobody in the car magazine road tests mentioned "oversteer" per se, but they probably felt more "neutral" than before.
CAR LIFE magazine mentioned, after GM had started to use rear sway bars on their cars (GTOs and the famous F41 suspension package on the larger cars), that Chrysler engineers preferred to use stiffer rear springs to get the rear roll stiffness associated with the addition of a rear sway bar. But when everybody did rear sway bars, Chrysler was right there with them, too. For the first few model years, Cordobas had rear sway bars as standard equipment. By that time it was a "competitive sales issue" more than handling, I suspect.
By about 1978, the Cordoba rear sway bars became optional, for some reason. Which kiind of makes me wonder if their "stiffer rear spring" orientation might not have been driven by the added cost of the rear sway bar assy more than anything else? Less money to add another leaf to the springs than the rear bar and its attaching hardware?
But the innards of the "Police/Taxi" section of the 1970 Chrysler parts book lists a rear sway bar for some cars, with the note "LAPD" in the listing. Hellwig had listings for Chrysler C-bodies back then, too.
