Has an AFL game ever ended 165-97?
Exactly once. On August 25, 1985, Sydney beat Melbourne 165-97, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 165-97 in league history.
That makes 165-97 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 166-97 has happened never and 165-98 has happened never.