Not even a peak under the can?
I think it being a different beast is right on the money, the FSH series is actually a whole slew of major revisions to the product - instead of just renaming them like other R&S stuff, they kept FSH and just kept making new analyzers altogether. I believe the order is something like FSH3+6 is the earliest variant, then the updated ones are marked like FSH3.13 or otherwise to indicate options, then the next version was the FSH4/8 introduction, no longer making the 3s and 6s, then I believe there's one revision beyond yours with a higher res screen and a different front styling. Not sure why they haven't differentiated the part names more, but I suppose I can understand why they'd want to keep the H for their handheld analyzers.
Does that mean the screen is damaged, or just the protective cover?