Has an Olympic Basketball (Men) game ever ended 81-71?
Exactly once. On July 29, 2021, Spain beat Argentina 81-71, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 81-71 in league history.
That makes 81-71 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 82-71 has happened never and 81-72 has happened never.