These kinds of things should be answered by current Hall of Fame inductees who know and played with Pete Rose.
I personally dislike this man, but "Charlie Hustle" was a phenomenon on the field that really deserves to be in the Hall of Fame for his achievements as a player, but he deserves to be in the Hall of Shame for his gambling and lies.
So, if its just about raw accomplishments and numbers, yes, if issues such as character, honor, dignity, matter, then no way.
So, I conclude, let his peer group, the current inductees weigh in on the issue and their opinion should be very seriously considered, not the sports writers or fans.