BZZZZZZZZZZT! Hold it right there.
If a paper ballot is printed and placed in a box, then THAT is the ballot that must be counted, regardless of whatever was input into the machine.
There could always be a slight of hand from someone with a preprinted ballot in their hand that they place in the box. Such a mismatched ballot would "invalidate" the computer tally because there would be guaranteed to be a mismatch between some entries and the computer tally.
If voters are not smart enough to look at their ballot for any hanging chads (I've never seen one, even when I tried to dimple a ballot) then they most certainly won't reread the printed out card before putting it in the box.
Also, the term "touch screens" here is misleading. This is not just an issue with "touch screens" but all electronic ballot boxes (including those that use dial input devices).