I can provide some first hand insight on this.
At first glance, they appear to be the same bridge. However, the issue I encountered is the grooves they put in the plate for the low and high E strings to “lock” the saddles in place. I’m not a fan of the bent saddles, so I e-mailed PRS and asked if the core saddles would fit the Fiore. They said yes. I ordered some, threw them on, but the width between the grub screws on the Fiore saddles is just a hair wider than those on the core saddles. One grub screw would sit in the groove, but the other does not. It will hang over the edge of the groove, and not seat properly on the plate.
So I said ok, well, it’s not a core bridge so I guess it is what it is. I figured the John Mann saddles would fit, since he specifically designed them for use with the SS SE, and I assume a man of his knowledge and experience wouldn’t create a saddle with such an obvious design flaw. Unfortunately however, they ended up having what I perceived as the same grub screw spacing as the core saddles. The low and high E would not seat properly in the grooves. Pretty annoying.
So anyway. My experience has led me to believe that in fact the Fiore bridge is just slightly different than the SS SE. Why? Oh trust me I spent many sleepless nights asking that same question (not really).