If your computer dies or the internet goes down, the cloud will still be there with your data. What you lose with your computer device/internet down is a way to access the cloud and see the data. The solution is to fix or replace your device (phone, pad, pc, etc.), and thereby get access again using your id and password.
Unless we are in a disaster situation, as Puerto Rico is, the internet usually comes back to life reasonably fast.
It's also good to have all the cds with backup, but even with that, if your pc goes down, you lose access to the CDs until you replace the pc. Consider that if your home is in a fire or ravaged through some natural disaster, your CDs could all be lost. In the cloud, they would still be available to you via a computer or other device.