And: if your internet connection failed some day, for example a big storm or short-circuit or whatever by your internet provider and it's over ...
A storm of that nature would probably knock out your electricity anyway, so unless you have a handheld (and remembered to charge it) you'll be without your games regardless. In the event of an outage it wouldn't be "all over". Your service would be restored as quickly as possible.
If you truly fear such a scenario, then I suggest you never use the internet for anything remotely important, because that would effect more than just your OnLive account.