sp1814 - Your basic premise is fundamentally flawed.
The issue with the demolition of statues, leaving aside the fact that this is done by mob vandalism, not by society's agreed consent, is that people are putting modern attitudes on historical behaviour.
As has been pointed out, slavery to our modern morals is a heinous crime, and utterly unacceptable - but at the time it was taking place, it was seen as normal and acceptable. The statues were erected for the philanthropy exhibited by these wealthy men, not for the way in which they obtained their wealth, which was simply not considered because it was the way of the world at that time.
You can say that we would not accept slavery now, but that does not alter the fact that it is a part of history, and history cannot be 'adjusted' because you don't like some of it - we have to accept all of it.
In terms of Jimmy Savile - his behaviour in the times in which he lived has never been seen as acceptable by anyone, and its exposure - notwithstanding an absence of any legal process or conviction - means that he cannot be celebrated now, or in two hundred years time because his actions were not and will not be seen as the norm for the times.
That means that your entire comparison is meaningless.
Monuments remind us of our history, good and bad - as I have pointed out, that is why Auschwitz is still standing, unless the revisionists want that demolished as well.