Here's a link to my recent post where I've discovered a way to create a folder Automator action that renames PDFs using JavaScript for Applications (JXA) and Automator to extract Metadata from inside the PDF. Specifically the PDF Creation Date found in the Inspector inside the PDF document.
While not really a Hazel feature, I use Automator as part of my Hazel workflow and this might be useful to other Hazel users.
https://www.noodlesoft.com/forums/viewtopic.php?f=4&t=7343#p30759
-DaveB