EA made a rather significant policy revision recently that changes the sort of content banned Origin users may access. No official announcement was made, but the evidence is there.
Previously, any Origin users banned or suspended for misbehaving online -- whether on the forums or in multiplayer -- would lose all access to their games, including the offline single-player content. Didn't make a whole lot of sense, really.
Fortunately, this is no longer the case. EA.com's updated policy page regarding account suspension now reads:
If you find yourself with a disabled account, please note that you can still play EA games in single-player mode. For PC games you will need to enable Origin's offline mode to play games with a disabled account. Go to the settings tab in Origin (the gear icon) and select Go Offline.
They've also noted that most bans are actually temporary. So there's that.