Savile was only an 'advisor' about certain issues, he also advised Margaret Thatcher (who thought the world of him), and many other prominent people. It's easy to forget how plausible and influential he was; I am nearly 73 and can remember the admiration he engendered when I was at school!
Even Louis Theroux was duped by Savile.
It's an unfortunate fact that prolific abusers with BIG secrets are manipulative and exceedingly seductive and charming. They cultivate acquaintanceships with those of hgh standing to provide cover for their activities.
We never know who we can trust, really. When all is revealed you hear people say, "Well he always was a bit dodgy", because everything suddenly falls into place.