My brain fried on what a “fake letter” was.

Fake : adjective Having a false or misleading appearance; fraudulent.

Either it was on purpose or you’re not nearly smart enough to be arguing about grammar and definitions on the internet.

Also you didn’t answer my question.

It’s not imprecise at all and it’s only confusing if you deliberately misinterpret it to be pedantic.

What do you call a fake ID then?