Zine publisher Jonno Revanche says he likes zines because they are not connected to a network infected with crap: clickbait, tracking, trolls, etc.
From his piece in The Guardian:
There's a liberty to creating, or witnessing subversive material knowing that it won't be monitored, that the information is contained only within the pages of the zine. The trustworthiness of a physical object in our current age is strangely compelling. Links shared via Facebook or messenger apps can be intercepted, logged, or dispersed otherwise into the ether. Especially for teenagers, zines counter the anxiety and subsequent frantic deletion of browser history so that your family can't see it. Hide it under your bed instead, or in a zipped inner sanctum within your school bag.