People who do not consider small problems worth tackling reflect a behavior where they don't seem to even get there is a problem growing into a major crisis. They breeze through issues without paying notice. And then my capacity to trust and delegate on these people decreases. 

There is a category of people that only spot problems. These are in general useful in an organization but they might come out as complainers and whiners. Problem spotters that can not become part of a solution eventually loose credibility. However, in my opinion, it is always better to have a problem spotter that is not a problem solver than to have a person that can neither spot nor solve problems.