I haven't had any problems with this until just recently.
I downloaded a PSone game onto my PS-Vita and thought rather than downloading it onto my PS3 it would be easier and quicker to copy it. That was all well and good up until I found out that the copied data was NOWHERE to be found on my PS3.
I tried it again and well no hope. Anyone else had this problem?
A small number of PSP/PS1 games available in the Vita store cannot be transfered using a PS3 for some unknown reason. They must be downloaded directly using your Vita. I have two games, one being Medal of Honor (PS1) and Pixeljunk Monsters Deluxe (PSP) that don't show up on my PS3 using Content Manager so they have to be downloaded directly using my Vita. Oh well, not a big deal.