This approach utilizes Webdriver and Selenium Server.
Was initially interested in Airbnb's Enzyme and React's Test-Util. But after rethinking the requirements, this workflow definitely needed a full browser automation (Selenium), e.g. to test each Wordpress' links and compare it with TTR. Found this article which helped finalize the decision. Webdriver also makes it very easy to use JS with Selenium, besides also the possibility to use Mocha or other test-runners.
Currently, TTR already has Enzyme in the devDependencies. But no Webdriver yet.
You can follow this guide to setup Selenium Server and Webdriver.