No, because they have no idea what your true ballot ID was.
They can force you to show them a ballot, the idea is that all ballot ID's get made public. You could be showing them anybody's and they'll never have any way of knowing.
It seems you mean something simailar to Selene voting system where a tally board is published containing tracker vote pairs. Each voter can decrypt their tracker once the voting phase closes to check the vote and also means to fake the decryption for claiming another other tracker from the tally board as yours.
Not necessarily. In Colorado they handle this by putting the ballot in a blind envelope inside a trackable envelope. I can verify the details of the receipt of that trackable envelope to the tallying center where it is verified as untampered and opened under video with multiple people present. The unmarked envelope is added to all the rest of the ballots to be counted.
So then you can verify your vote reached the tallying center, but not that it was tallied correctly. Someone can look at your vote and count it wrong.
I think that's fine and the best we can do, but the person I replied to said you can verify your vote is tallied correctly. That implies checking what the actual vote was.
All true, but this is no different than any other ballot in the state. At a certain point you can choose anonymous ballots or you can choose trackable ballots.
They can force you to show them a ballot, the idea is that all ballot ID's get made public. You could be showing them anybody's and they'll never have any way of knowing.