This is exactly the issue I just encountered. But what I want to know is....

I have PS3 version, but I want to play on PC. So I have to go buy the PC version and register the PC code to my SE account. Fine, I understand that. After having done that, let's say I create two characters. Can both characters be logged on at the same time but on different platforms on same account?

In other words. Multi-playing? Does linking a PC code to my SE account that has my PS3 code allow me to multi-play?