If you installed the game to the internal memory of sysMMC and emuMMC, I believe that it took 2x the space, but I can't say for sure as I'm using emuMMC exclusively. If you install to the SD card portion of the memory, however, it should appear on both.
As far as I can see
here, it's a planned feature.
Did you block Nintendo servers in the past using 90DNS or similar? Maybe that's the reason an error happens.
Regardless, I'm not sure if that's a good idea as you might get your console banned.
That should do the trick. Make sure to set up 90DNS or DNS MITM before you restore your prodinfo.