I haven't used UV Remap very much so I gave it a try and I think I had the same results that Christopher had.
When I use remap to change the UV position outside the 0,1 coordinates, the tiling part of the texture doesn't render.
It's black, just like when you have Wrap UV disabled and the UV outside 0,1.
Wrap doesn't seem to solve the problem in remap.
Is this a normal behavior?
M.Yara