Nonsense. Existing laws protecting employees from employer retribution (e.g. for sexual orientation, or religion, or...) are still enforceable (and the judgments for plaintiffs are large, too).
There is no reason to prevent someone from verifying that their vote was counted -- not vote buying (or the presumed ease thereof), not vote tampering or stuffing (really?), not potential outside coercion of any kind. Laws exist for all of these things already, and would not suddenly become unenforceable or ineffective in the presence of vote verification.
Coercive voting has disappeared because it is impossible for the coercee to prove to the coercer that they complied.
My granny used to tell of tying red ribbons (red being for the left) on the goats in the country and her mother getting a lift to the polls from the Tories (when women first got the vote) and voting Labour.
Verifying your vote cannot relate to ballot stuffing at all - so you can prove to yourself that you voted X, but I have 1,000,000 made-up votes for Y.