That's not really a good solution for all the obvious reasons. (Speed, resource usage, dependencies.) Plus, by that logic every client-side webapp supports being rendered on the server, so that's not even a meteor-specific advantage.
Conversely, React actually does supports true universal (aka isomorphic) apps; you can pre-render the app on the server using node (without needing a headless browser), ship it to the client, and rehydrate it. (Ember is working on shipping the same functionality under the name FastBoot.) Meteor doesn't have anything like that.
I'm sure meteor+react has some advantages over pouchdb+react, but it's not because of server side rendering. :)
(Well, as far as I know. I haven't been paying much attention to Meteor development, so it's possible the story has changed in the last few months. But last I checked, true server-side rendering was easy with react, but not really possible with meteor.)