Unless I misunderstood you, it amounts to the same thing, from slightly different points of view.
but I think Dave's point is valid: if I vote yes on something is that yes being accurately tabulated and counted? if I vote yes and some how the recorded vote is altered before it's counted then we have a big problem with our system.
Yes, Dave's point is very valid, but I think that any system that allows you to verify your vote intrinsically open the door to others verifying your vote - either stealthily or at gunpoint.
That means we have to trust the system, and the solution is to make the system more transparent and harder to manipulate, which implies going as low tech as possible, not the other way around. If that means we don't get to see the results on TV by midnight, then be it.