UPDATE - Has not configuration and thus too aggressive - this "steals" focus from other sites that use salesforce as a backend upon authentication.

I liked the functionality so much that I created an extension that can be configured.
It's pending review here in Mozilla, but code is up for testing locksmizth/sticky-tabsz @GH

Original review:
Works as advertises - it will RELOAD the page you have opened, which is the desired action I was looking for.

I can confirm it works with Zen Essential pinned tab as well.
Sanity restored.