I guess we need some factual input here as to exactly what MS records. As mentioned before, the public records in TN indicate that I (and my wife) have voted in past Rep primaries. I have an app from Beat Lamar! that gives me the name and address of every voter in my precinct who has voted in Rep primary over, I think, the past 8 years.
Ping to 277.
You are NOT given voting ballots from both primaries. You are given one. Your name is recorded as to WHICH ballot you are given. Precisely to prevent your voting in the opposite primary subsequently.