This topic seems actually quite controversial. Google answered the question by what could be taken as a denial. But their answer was kind of open to interpretations. And on the other hand, there are studies (one of them from Moz) that showed linking out has an impact. So, how can you be so assertive? Is it something that comes out from your own experiments?
Awareness and Branding. Visibility is one thing and being top of the line is another. The more that people see you, the higher your chances of being remembered and that keeps awareness among potential customers. Same goes with branding. Once you start linking your business with certain terms and keywords which are deemed positive for you, its effect will most likely be beneficial for your business and can, later on, lead to a sale.
Although it may have changed slightly since BrightEdge published its report last year, the data still seem to hold true. Organic is simply better for delivering relevant traffic. The only channel that performs better in some capacities is paid search ads, but that is only for conversions, not overall traffic delivery (Paid Search only accounted for 10 percent of overall total traffic).