Quote just one source that described Burke's position with the KofM as "important" prior to von Boeselager's dismissal. 
Time and Reuters are reliable. I put in Breibart only because it was on the first page of the google search, but it stated the same thing as the other two. 
The Catholic Herald et al are as reliably "conservative" as the National Catholic Reporter et al, including the US for-profit media, are reliably "liberal." Neither has "proved" anything, they're just different narrative. There are two sides to this and most stories and that's why I read 12 Catholic websites each day to understand all sides and the nuances behind the reporting. One can't just read the sources that you know will agree with one's preconceptions.