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Future Diamondback Hall of Famer?

So I was looking up something statistically for a writing project I was working on, and I found this interesting list. Here is the list of names, with one exception, sorted by plate appearances:

Pete Rose
Carl Yastrzemski
Henry Aaron
Ty Cobb
Cal Ripken, Jr.
Albert Pujols
Eddie Murray
Stan Musial
Barry Bonds
Willie Mays
Craig Biggio
Dave Winfield
Alex Rodriguez
Rafael Palmeiro
Tris Speaker
Frank Robinson
George Brett
Reggie Jackson
Mel Ott
Ken Griffey, Jr.
Miguel Cabrera
Carlos Beltran
Gary Sheffield
Babe Ruth
Chipper Jones
Jim Thome
David Ortiz
Frank Thomas
Mike Schmidt
Ted Williams
Manny Ramirez
Jimmie Foxx
Lou Gehrig
Rogers Hornsby

Obviously, all of them are in the Hall, with the exceptions of those who haven't appeared on the ballot yet (Pujols, A-Rod, Cabrera, Beltran) or those with major PED concerns (Bonds, Palmeiro, Sheffield, Ramirez) or Rose, who is banned. All of those with major PED concerns had multiple years on the ballot; the name I left off the list was one-and-done, but if he were to be elected by special committees, he would be the third former Diamondback (joining RJ and Roberto Alomar) to go into the Hall.

Assuming that Beltran is elected at some point (Beltran is, statistically, the most similar player), should a special committee re-examine the only member of this list to go one-and-done on Hall voting?