I'm with David on this one. I like having my data locally. Don't have to worry about my data being held hostage if the relationship with the vendor goes sour.
I actually think electronic records are an improvement. Think about it with paper records... who actually kept copies in multiple places? Could you access a chart without having to physically get it? You can have your charts stored in a protected storage center or on something smaller than your car keys.
If your office were to flood, all of the paper charts would be destroyed. Maybe something like that happens to charts in storage. What would have done then?
There are obvious security issues. But they are manageable.