No, I believe they are advocating that the ballot be counted/approved or rejected in the presence of the voter. This way people will have an opportunity to fix any mistakes with the ballot itself. This wouldn't have anything to do with the votes, rather it would ensure that the intention of the voter was correctly captured.
This is the way it worked when I lived in Indiana. We had paper/optical ballots that were scanned immediately after we turned them in. We watched them get scanned, and could verify that the counter on the scanner incremented (not vote tallies, just a +1 for total ballots cast).