If anyone is on WP Engine, I finally figured out the fix (after months of trying.)
You’ll need to get WPE support to add the argument “action=rp” in the Dashboard “Caching > Exclusions”.
The reset link will then work. It will need to be added to each install that you want this plugin to work on. Unfortunately, there is no global way to set this on all your installs/environments in one place.
I hope that helps.