I'm sorry, but a conviction for "wet reckless" (which is a misdemeanor -- not an infraction -- and treated as a DUI by law enforcement for all intents and purposes) is not a "minor traffic violation" by any stretch of the imagination.

Minor traffic violations are speeding. You basically got a DUI that wasn't officially called a DUI. In your case, the DA said "You weren't driving safe. You were drinking. We might be able to convict you of a DUI, but it could be difficult, so we'll call it a wet reckless so we get a conviction and law enforcement knows to pay attention to your alcohol level next time you're stopped."

As was discussed in the thread you linked to, CBP takes DUI very seriously.

Advising the OP not to apply if they have a "minor traffic violation" is bad advice. Plenty of people with speeding tickets, registration violations, or even misdemeanor arrests and convictions get approved for GE. It is the offense in particular that matters, and how you address it with CBP.