Yes on it's own. But not when it's the main justification for how great he is. There are some wonderful Vanarama managers out there I believe.
I think a manager who wins the championship has greater credentials than one who has won a few bits and pieces in those minor European leagues.
Perhaps your definition of 'winning lots of things' is managing big teams. Personally I have never rated him. Allardyce was manager of some big teams and even England but he was rubbish. England has had some real duff managers so being a manager for it is not prerequisite with actually being...