Yeah, look into the situation wherever you’re voting. (Better yet, volunteer to be a poll worker!) It’s impossible to say where 3 putt’s FW:FW:FW:FW:FW:FW anonymous tweet came from.
In Ohio most ballots are cast electronically. There will be a blank ballot card that is printed up at the voting kiosk and then fed into a ballot reader to tabulate the votes. Voters may request a paper ballot that they can mark up by hand if they choose. Those are fed into the ballot reader as well. A provisional voter must fill out a paper ballot and we mark those with a big “X” in the upper left corner to prevent them from being read by the machine. Those votes are processed by hand because they need to be verified first whether they’re legal or not.
Here, nobody writes anything on your blank ballot card when you’re checking in. Nobody checks your party affiliation, either, and since the coming election isn’t a primary, no one will have a reason to request either a Republican or a Democratic ballot.