If the figure floats, then if the table starts a recto page and
continues to a verso page, the figure will occur on the next page, which
would be a recto. He wants the graphic to always appear on a verso
page. Because of this, in the preceding example, he wants the figure to
repeat on the next (verso) page, but *only* if the original instance of
the graphic is on a recto page. At least, that's what I interpreted
from the original post.
I don't know about FO or Styler, but this is difficult in FOSI, because
the flowtext information is mostly kept separated from the page
information. It would be difficult, without some post-processing, to
set a rule to insert another instance of the same graphic file or entity
reference, based upon the page model initiated by any random graphic
file or entity reference.