I've Deleted, and reinstalled Facebook app. And somehow I don't see that Bluetooth setting anymore either. Odd. Wonder if it's a legacy from my Device-to-Device transfer.cannot find the option to turn off the bluetooth for facebook. 14pro with iOS16.1b3
Its neither in settings->facebook , nor in settings->privacy->bluetooth.
In any case, I'm not seeing the background activity from Facebook anymore in the past 2 hrs. Will continue to monitor this. And if it comes to it, I don't really need FB app.