There are a number of complications I see regularly that are semi-beneficial. They provide a bonus to quality or progress etc while costing more AP or lowering progress or what-not. These all have a duration of 5 actions.
Very very very rarely I get a complication which lasts for 2 actions and is *only* beneficial. I get them so rarely that I'm not remembering right now what they are called.

So there really are complications that are only positive. They're just really rare.