Originally Posted by charlequin
Yep. If you've got any installed at the moment, go press triangle and go to copy. It'll tell you that you have to re-download the game, making the current install a complete waste of space. Fat chance I'll ever bother re-downloading them now and it discourages me from even buying new games. I liked having my digital PSP library displayed on my PS3.
Edit: And even if you leave them as uninstalled bubbles on your game list, you can only have up to 32 at a time, which would in turn mean you won't be able to background download (as 32 is the limit of background downloads/uninstalled games).