Mays and Mantle were banned because they worked for casino's at the time. So they could not hold an MLB job while they also represented gambling, but that is pretty much out the window now, as gambling is all over professional and college sports.
Put Rose into the HOF along with Joe Jackson, be sure to list after their accomplishments that they were given a lifetime ban for betting on the game.
Which makes the whole thing hypocritical... was it even a big deal in the 80's that Willie Mays and the Mick glad handed a bunch of people at a casino?
To me the HOF exists to tell the story of baseball... you can't tell the story of MLB without Pete Rose so he's in but like you said they have to tell the whole story.
Lets be honest though... Pete's "brand" was made bigger by him not being in the hall.