Cloudflare videos disappear after client-side navigation

Reproduction steps:
When you go here: you can see two embedded CF videos on the page.
If you client-side navigate away from that page (by clicking on Player API in the sidebar for example), and then back to the Player & Playback page, you’ll notice that the videos have disappeared. It looks like client-side navigation/trying to instance the videos twice breaks the CF videos in some way.