When in mobile mode, the "Research at Cambridge" link in the global header becomes simply
<a href="">
i.e. the href attribute is empty, which leads to the link always being to the currently-viewed page.
I can see this on my Drupal site (https://www.ch.cam.ac.uk), a randomly-chosen Falcon-on-Plone site (https://www.phy.cam.ac.uk) and a PL site that is neither of those things (https://www.geog.cam.ac.uk), suggesting to me that the problem is in the "core" js in this repo. Curiously though, the link on https://www.cam.ac.uk - which I believe uses a non-standard PL implementation - works fine, so comparing with the js there might help identify the cause.