Yes, larger diameter torsion bars will support more weight and they will deflect less as you corner and as you hit bumps.
They give a stiffer ride because they do deflect less.
.890 is correct for standard cudas and challengers.
The aar has .920 bars to be stiffer so the body rolls less during hard cornering, which is what they were designed for.
You can also adjust the preload on your standard torsion bars. There is a simple adjustment under the lower control arm that sets the preload in the torsion bar. By increasing the preload, the car will set higher in the front end. Your bars could be "sagged out from being old" and adding more preload may bring it back to standard ride height and prevent bottoming. I'm new to mopars so i dont know for sure how much adjustment is there, just that it is adjustable.
If not, new .890 bars would most like set higher than old worn out ones.