We're not sure why EA hasn't been shouting this from the rooftops themselves, but Gameblend are reporting
that for over a month now (since March 8th) the Origin account suspension policy has been updated and bans from other EA services will no longer affect singleplayer access to games or DLC purchased from the Origin store.
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.
One of the biggest criticisms of the service (other than "it's not Steam") had been the overreaching affect of account bans, spawning from several tales of users that had been banned for anti-social behaviour on the BioWare forums, only to find that they could no longer play any of their Origin-activated games.