Um? if ballots aren't secret, then individual voters can be bribed to vote the "right" way or punished for voting the "wrong" way. Ballot secrecy is an absolute requirement.

As long as you're not in 1950s US and vote for a socialist, or vote against the communist party in any eastern European country for much of the 20th century, or against Putin or the CCP, or vote conservative and have aspirations in academia [1], then yes, there is an extremely limited range of times, countries, and opinions, for which non-secret voting wouldn't be absolutely catastrophic.

[1] https://www.washingtontimes.com/news/2012/aug/1/liberal-majo... -- "One respondent wrote in that if department members “could figure out who was a conservative, they would be sure not to hire them.”"