I believe Rose's lifetime ban was his just desserts. It should never be lifted.
But I also believe his exclusion from the Hall of Fame ballot was unjust. When he fell in with the Gold's Gym scuzzballs who helped feed his gambling habit and began his betting slip-documented wagering on baseball games, he was no longer a player. In seven volumes of Dowd Report evidence, there is nothing linking him to betting on baseball while a player.
The Hall of Fame is a private, nonprofit, entity. While it certainly walks in step with MLB's agendas, the HOF unilaterally invoked the 1991 ballot ban by a 12-0 vote.