Tom Glavine and John Smoltz are two “modern era” hall of fame pitchers with great batting averages.
Ugh now my blood pressure is sky high...
You've actually just made a great argument for the DH.
Glavine was a lifetime .186 hitter, and Maddux hit .171 over his career. If this is what counts as "great" among pitchers, then they shouldn't be allowed near a batter's box. Any position player who hits that poorly finds himself a career AAA player -- at best.