It's hilariously ironic that the person who oversaw and benefited the most from the baseball steroid era, Bud Selig, is in the hall of fame. But the majority of the players who put him there are forever shunned. Doesn't seem to be much of an issue in baseball.
If it is in the NBA, The star-based officiating dwarfs it as an issue.
Is infamy fame? If so, the HOF should unabashedly tell the full story of baseball and include its ‘villains’. Consider a ‘Hall of Infamy’ around the corner from Fame busts. Busts for Shoeless Joe, Pete Rose, Barry Bonds, Clemens. None them committed murder and all of them contributed to baseball’s history. The steroid era was a blast. Only time I’ve had interest in baseball since I was a kid.
Each one of Rose, Bonds, Clemens tells an amazing story of spectacularly gifted players with unprecedented achievements, but with a substantial downside. Would be the most interesting stories in the Hall and would reflect a museum wanting to tell its actual history.