But it was about 2GB a year ago. At this rate, it will require a NAS with several dozen 4TB hard drives in RAID by the end of 2016.
No, we hit the 7 transactions per second limit first.
Bitcoin really does have a scaling problem. There are potential technical solutions, but nobody has implemented anything ready for deployment yet.
(Keeping Bitcoins in an "online wallet" and doing transfers within the remote system is not a solution.)