You can do a lot of stuff at the bank, with your doctor, etc without ever having to show your state ID. What is facebook doing that’s so very serious they’d need it?
(not OP but I use a consistent nom de plume online)
In the case of Blizzard I would say no and accept my losses. (Well, let's say Steam since I have actually dealt with them.) In the case of Facebook or Google, I would say no simply because I don't trust their motivations.
Online however there is no such thing to simply see something. Everything is a copy that can be used for any purpose.
A few years ago there was a major leak at a porn streaming site with a large number of people getting their passports leaked. It was reported as a major disaster for those involved.