"Access to online data"
They already have that, with a search warrant Apple will give them whatever they have for them on iCloud. Wouldn't work with me, since I don't control the encryption key for iCloud I don't use it. I back my phone up using iTunes, where I do control the encryption key. The FBI can't get my iMessage logs (well other than that where the recipient uses iCloud...) but they can get other stuff like call logs from my carrier, and they probably log URLs I visit etc.
Pretty much iMessage and details like contact lists or calendar entries are the only things on the phone that the FBI can't get via other methods - but I'm sure it is iMessage they are primarily concerned with. Good luck getting Apple to change it so it all goes through a server that can be tapped rather than encrypted directly from point to point!