Taking the sway off, will help against tipping over, since the front tires can move freely, and independently from each other.
So in other words, in your case, the "falling" front right (passenger) tire, can travel further down and "meet" ground even if the front left tire is pushed up by a rock. And this will happen more easily without the sway bar.
In these flexing photos
, i have the front sway deleted. If it wasn't deleted, the front left tire won't be able to drop down "as much" and that will be compensated by more body roll to stabilize the car.
What i am trying to prove, is though limited, deleting the sway will help with better flexibility and hence better stability.