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?
BrightEdge is the only technology that allows marketers to get an accurate understanding of how organic search rankings are tied to business value. It allows customers to track actual placement among all types of search results. BrightEdge users can switch data and reports between blended and classic rank results to gain more visibility and insight into the effects of local, images, videos, and more. You can also see how your content is performing across device types, like mobile, and in different regions within the same country. The image below from BrightEdge StoryBuilder shows Classic Rank in blue and significantly different rank for Blended or Universal results, which include universal rank types such as quick answers, images, videos, and shopping.
Website ranking doesn't just come from what's on your website. Google, the number one search engine used today, uses a variety of other factors to rank websites. Things like your social media activity, appearances on other sites through interviews or guest blogging, and being listed as a resource on another site all increase your standing in Google's eyes.
Everyone wants to rank for those broad two or three word key phrases because they tend to have high search volumes. The problem with these broad key phrases is they are highly competitive. So competitive that you may not stand a chance of ranking for them unless you devote months of your time to it. Instead of spending your time going after something that may not even be attainable, go after the low-hanging fruit of long-tail key phrases.
Organic is different. Matching keywords to user intent means you may be present in many searches. The user may find you consistently, and once they get to your site, they are more likely to stay. Organic users are still your best long-term customers. In my experience, they have lower bounce rates and more pages visited, and they are more likely to return.