This is a very common misconception. React was meant to provide one-way data flow. With an app built directly on the DOM you have to deal with the DOM having its own state to manage on top of the state your own code is storing. You have a list of comments in a variable, and a list of DOM elements for each comment, and nothing but your own code is making sure they stay in sync with each other. React changed things so that the state of the DOM is always derived from your own app's state, which eliminates what turned out to be a pretty tedious and error-prone amount of work in complex web apps.
It wasn't the first to provide this but its API was unique and compelling vs existing alternatives. The virtual DOM, server-side rendering, etc. are not things that make React faster than non-React code, they are things that counteract the inherent slowness in React's design to make it competitive with non-React code.
Watch the original JSConf talk where React was publicly announced and released, and notice how the talk is mostly about the one-way data binding, and the virtual DOM/reconciliation are mentioned in the back half as ways React catches up to non-React app speeds: https://www.youtube.com/watch?v=GW0rj4sNH2w