The thing is, we have cryptographic techniques that can mathematically, and nearly instantly, prove the integrity of a vote count. We just don't apply them.
We don't need to regress to printing and scanning poll tapes any more than we need to go back to 8 track cassettes.
Let's move forward to state of the art, provably secure computer systems instead of the glitzy stuff we deploy today that disappoints after lowbidding contracts.