If any evidence ever surfaces that Rose bet against his team, then remove him.
I don't understand this distinction.
Rose admitted he bet on the Reds to win as both a manager and a player. As a manager, that means he might use a reliever who he ought to be saving for a future game, or deny a player a day off when they really needed it, or just take unnecessary strategic risks trying to win.
As a player, you kind of expect him to do whatever it takes to win a game....but since he was known as a guy who wouldn't hesitate to injure himself or other players on the field, could some of thst attitude be tied to gambling on his own team? Who knows?
It all affects the integrity of the game.
And just because he admits to betting on the Reds and denies ever betting against them, that doesn't mean he's telling the truth. He denied gambling at all for many years.
But, it was a lifetime ban, and his lifetime is over. Let him be on the ballot, at least.