From much earlier times, it has been more desirable for the front end of the vehicle to slide first in a fast cornering maneuver. That gets the driver's attention as they can see and hear it coming from tire sounds of slippage, so they reflexively slow down to stop/decrease the tire sounds. Independent of the handling characteristics of the respective tire itself.
In the tire tests that CAR AND DRIVER did in the 1970s, the "grip curves" of tires that looked to be "the same" were NOT the same, on the track. Some tires were gradual until their adhesion limits were reached as others were more sudden, by comparison. Others were sticky right up to their limits, then they weren't. Many of these differences were due to rubber compounding, back then as now.
In all cases, though, the more relative load the tires on the front "see" relative to their inflation pressure (ability to carry weight) has a big affect on both ultimate steering response and cornering capabilities. Keeping the tread FLAT on the road is important, which is why radials (and the bias-belted tires in the USA market that came before them) are better than normal bias-ply tires. If the front end geometry has the outer wheel going into negative camber, so that as the chassis leans in the turn, the outer tire remains more perpendicular to the road surface . . . as Chrysler products are designed to do . . . the outer tire is better "braced" to handle cornering forces as the tire tread stays more perpendicular to the road surface. GM and the earlier Ford cars, the outer wheel leaned with the chassis, which put the major cornering forces on the outside tread ribs (and a bit of the sidewall itself in some cases) as the inside of the tread does little if anything at all.
Keeping the car "flat" in the turns is important. Moving some of the resistance to maintain flatness rearward lets the rear wheels contribute more, too. Which generally makes for a more-neutral feel and result, but still with the orientation toward understeer, just less of it. Which is why rear bars are not as large as the front bars are. A part of most "radial-tuned OEM suspensions" was the addition of a rear sway bar and firmer rear suspension pivot bushings, generally.
Standard rear sway bars have been the victim of "de-contenting" of vehicles should sales prices get to be more competitive (as to costs and such). In the later 1970s, the rear sway bars on Cordobas were a victim of this, as the previously-standard bars became optional, which caught some dealers off-guard, so they had to start ordering them as an option. In the LH car era, Daimler de-contented the cars by deletion of some "hidden standard equipment" many didn't care about, which included the rear sway bar on Chrysler Concordes. I rented a lot of those cars back then. In normal driving, the loss was not noticed, but in more "sporting" driving, nearer the edge of tire traction in corners, they would be noticed.
Chrysler engineers were more reluctant to offer rear sway bars as standard equipment, but were somewhat forced to with the advent of the famous and popular Chevy F41 rear sway bar suspension on Impalas and Caprices, plus Pontiac's quick adoption of such on their cars. YET, in the back of the 1970 (IIRC) Chrysler parts book, in the "Police and Taxi" section in the back, hidden in the part numbers was a B- and C-body "rear sway bar" for "LAPD" vehicles. Possibly to decrease understeer on some of the curvy roads in "the hills" around Los Angeles? When I discovered that, in about 1975, I was surprised.
Enjoy!
CBODY67