While WordPress still dominates large areas of the web, they have a decentralized model vs medium. It's like comparing scaling web forums to reddit ("why do they have so many outages? All they do is store text!"), but reddit obviously has a way higher load than any single forum. I'd wager the same is true for medium.
To continue on with the metaphor, medium, like reddit, is solving a different problem than the wordpress/squarespace model: you don't have to roll your own. You get a built in audience due to centralization and the cache of the site (For some reason I associate a medium link as being more legit than seeing a WordPress hosting site. Strange, but better branding I guess.)