Carter - He was one of the best catcher's of his era. When you state his numbers are comparable to "others", what position did the "others" play? What he did over his career as a catcher is pretty valuable. There are two with lower career OPS+ in the hall, kick them out first.
McGinnity - Yes, it was just 9 years, but consider the era. He didn't get his start until 28, and at the time it was common for a minor league team to not sell the rights to a player to a major league club (there was no direct affiliation at the time). Lefty Grove was stuck in Baltimore as the best pitcher in baseball until he was 25. Also, his era was one of fewer strikeouts. He did, however win 63.4% of his games, with 246 wins in 9 seasons. Young pitched 21 seasons for 511. Prorate his out to 21 seasons, and you would be complaining that Beckett didn't win the AL McGinnity award. I'd remove someone like Ruffing, a guy who compiled numbers through longevity without ever being remarkably impressive.
Rose - No, he broke the big rule. No exceptions. And, besides, it's not like he wouldn't be in if he were allowed. This isn't a case of him being "overlooked" by the voters.
Lynn - If you are going to penalize McGinnity for being short on longevity, why does Freddy get a pass?