If you describe someone's approach to a problem as one of benign neglect, you disapprove of the fact that they are doing nothing and hoping that the problem will solve itself.
[disapproval]
I am concerned that some children are the product of benign neglect in the home.
See full dictionary entry for benign
benign neglect in British English
(bɪˈnaɪn nɪˈɡlɛkt)
noun
formal
the fact that someone is doing nothing about a problem and is hoping that it will solve itself
the ECB's approach to the euro's weakness was one of 'benign neglect'