If you link out to irrelevant sites, Google may ignore the page, too – but again, it depends on the site in question. Who you link to, or HOW you link to, REALLY DOES MATTER – I expect Google to use your linking practices as a potential means by which to classify your site. Affiliate sites, for example, don’t do well in Google these days without some good quality backlinks and higher quality pages.
QUOTE: “The amount of expertise, authoritativeness, and trustworthiness (EAT) that a webpage/website has is very important. MC quality and amount, website information, and website reputation all inform the EAT of a website. Think about the topic of the page. What kind of expertise is required for the page to achieve its purpose well? The standard for expertise depends on the topic of the page.” Google Search Quality Evaluator Guidelines 2017