Nothing sounds more invasive than a Facebook created in-home, always-on device.
Facebook was called Home. And it had some nonsense gimmick with a Facebook-like Android skin for the OS.
But, yes it failed on its own merits when the consumer market took one look and laughed it off.
edit: I remembered wrong. Home was the name of their Android skin. HTC and Samsung launched a few phones running it by default, which all flopped.
There's not much difference between having the Facebook app installed on your phone and this device, in terms of creepiness and data collection capability. Probably their smartphone app creeps me out more, actually.
On my install Facebook has zero permissions and remains useable. It is by design though.. they have already way too much data.
IIRC in P only a foreground app can access sensors, still, don't give this permission to facebook.