You're kidding, right? Paper ballots are secure? Like the ones in Chicago? The ones in Seattle? LOL... yeah, right...
I said at least as secure. If a system can't even manage that level of security, what's the point?
No system is secure without physical control over the equipment, in the form of watchful eyes and chain-of-custody throughout all the relevant processes.
It's not the lock on the machine that matters, it's the person(s) charged with keeping eyes on the machine.