Mine is set up this way as well. i think the 'float factor' is even better than the jaws allow. The shellholder is not held snugly in the base plate, so it can move quite a bit. I never liked the jaws and replaced them with the shellholder plate as soon as I possibly could. To me, there's just too many advantages to a shellholder that the jaws don't offer.
Design? Well, Forster sells the base plate as well as the jaws, so not sure if that tracks. The CoAx was also designed to have priming capability, which I have never used. If something doesn't work for me/you, regardless of the design, change it or replace it.
Sorry if this sounds preachy, I sure don't mean it like that. We all mod stuff to satisfy our particular itch....