The tone and content of your post makes me think that you and some others are speculating from meager or no experience. At age 14 I learned to drive a rear drive car that had neither front nor rear sway bars. Later I extensively drove another rear drive car that my Dad bought that also had neither front nor rear sway bars. I have owned 5 rear drive cars with neither front nor rear sway bars and have driven countless other without sway bars.
I used to powerslide my Dad’s early 1950s car (w/o sway bars) on gravel road curves near our house. If my Dad knew that… The car handled beautifully in this situation; was entirely predictable. My friends in the passenger and back seats were not afraid to ride with me.