The fact that for a while there was a serious discussion about Babe Herman's HOF qualifications shows how statistics outlast images. I can recall reading a lot about Herman as a kid in the fifties, and each piece would mention the Fresco Thompson quote, Babe's fielding a fly ball with his head (or shoulder), and his role in the 3 men on 3rd. They also talked about his awesome hitting, but it was like part of the act. You couldn't seriously mention him as a candidate, because you couldn't mention him seriously.
So even if he'd hit .400, I don't think he'd've had a following like Maris or Wilson.