The difference between a FAQ and the manual is that typically the manual is comprehensive and organized by topics, while the FAQ is sorted by how frequently people need the information.
If you have a FAQ, then users can scan a dozen questions and see if their question is answered, and in 90% of cases they find the answer.
So the benefit of a FAQ is that you have a single page that contains the most important information across all topics. You don't need to know how the docs are structured, you don't need to know the terms of art to search for, you can just scan a few lines of questions on a single page, which people can do very quickly.
I guess you could put the same information into a document titled "Overview" or "Quick Start" or "Most Important Info" but using the common term "Frequently Asked Questions" makes it easier for customers to know where to start looking.