That is a good start, but doesn’t give you much anonymity.
Every time you log on, FB records your ISP machine address. Even with dialup, there are not many different addresses if you are on the internet from the same physical location every time.
Also, every computer/phone has a unique signature as to the software, OS, and updates on that machine. It is essentially a machine fingerprint, and can be read by the site server.
Logging and cross referencing this info quickly tells them who you are, especially if you use search engines while on the net.
FB costs over $1,000 a year per user, the money IS being paid.
I used only one device to do FB, and that device is no longer in service, plus it wasn’t mine to begin with...............