To your second point, no they don't.
Coprinus comatus does not contain any benzocoprines, and does not interact with alcohol.
Coprinopsis atramentaria is the one you are referring to. Completely different genus - and not one I'd recommend eating anyways, besides the alcohol interaction they have been found to cause testicular lesions!
At least on my Samsung, Bixby Vision immediately identified it as coprinus comatus. I assume iPhones have a similar feature in the camera app.
All it does is search the web for related images, and in this case, all the related images were of that exact same mushroom. I clicked one of the images, and found the name of the mushroom.
Interesting, thanks. There are dedicated image scanning apps to identify plants, I assumed you used one of those. I guess this mushroom is just easy to identify.