It sounds like Diablo 3 on PlayStation 3 and PlayStation 4 may not connect to Battle.net at all.
"While we think cross-platform play would be awesome, there are currently no plans to allow connectivity between PlayStation Network and Battle.net," wrote Blizzard community manager Vaeflare on the Diablo 3 forum (via Blue's News).
"As a result, the characters on your Battle.net account and PlayStation account will also remain separate."
There being no connection to Battle.net may mean there are no plans to have an Auction House or Real-Money Auction House in the PlayStation versions of the game.
This tallies with Blizzard allowing offline play in Diablo 3 on PlayStation 3 and 4. The PC and Mac versions, remember, require an internet connection to play.
Diablo 3 on console also introduces an evade ability for characters as well as a redesigned UI and inventory.
Blizzard intends to have Diablo 3 up and running on PS3 at PAX East at the end of March.