I question it too. He was a product of his times and his environment. Not justifying - through the lens of several decades - but he was hardly an exception. Judge Kennesaw Mountain Landis had no great love for blacks either. Presumably, you've seen the movie, "42," about Jackie Robinson. It probably wasn't exaggerated much for effect, if at all. Baseball history is full of scoundrels and lowlifes. Let's not forget that it through well into the 20th century, it wasn't considered a respectable way to make a living. In the case of Ty Cobb, he didn't like anyone. So, at least he didn't discriminate.
Oh, and as far as Pete Rose is concerned, deal with Shoeless Joe first. Then, we can talk about Pete.