MacOS Stores all this stuff in a SQLite database, and there is no way that I am aware of for Jamf to read it. 

It could be done but it requires disabling SIP, and that's an unacceptable risk for the value of information being returned.

File Feedback: and tell the story of how having the ability to remotely read these permissions would help your organization (reduce tickets, be proactive, streamline deployments of updates and OS upgrades, etc).

I'm looking for something very similar to this, did you make any progress that you can share?

No progress has been made yet. I was attempting to add an extension attribute that would report all the settings related to screen recording, but I haven't had any success so far.

I found something that might be helpful but it's not working 100% yet. Check this post out on Medium, it says its tested on macOS 13 so a bit dated. Trouble I am having with the EA is hat the result reports as "Disabled" no matter what if it's toggled on or off.

@Alvaro1337 I got this working. Use that EA and make sure Full Disk Access is enabled for Terminal

Amazing! Thanks for the info, I'll keep working on this