Just checking, but you realize there were no "original" full soft tops, right?
As to the full family cage, that entirely depends on the design of the cage. When I got mine made, I included the top when I dropped the Jeep off and made clear that it was a requirement that the bows be able to drop.
I've had a Tigertop and a Supertop. Being able to roll up the sides and rear on the Tigertop was nice, but it wears on the window plastic pretty severely if you drive like that much (which I did a lot).
Similarly, I run the Supertop with no windows or doors the vast majority of the time, basically using it like a full bikini top. I had to add one screw to the rail on the tub at the point where the front edge of the rear corners of the top hit them to eliminate some flapping that was coming from the rear corners where they were actually bending up the rail at higher speeds. I also did the third bow, which is basically essential to be able to drive at speed. WAY too much flapping in the middle of the roof panel if you don't have it. With the full cage, I did a little stubby bow that actually mounts to the top of the roll cage to serve as the third bow.