I don’t believe it will work.
F___book can track your IP address...forever...
They also collect data about you (name, address, phone, etc.) from various sources and track, track, track you on any device/phone.
This is not about you.
F___book needs a quick trip into the ash-bin of history.
If there is no cookie to report you are online, what do they use? Do they poll every ISP constantly for IPs on line?
Google while not part of this discussion does exactly the same thing as FB. This is especially true if you use Google’s Android OS on your phone, their Chrome browser or Chrome OS. Further, if you run a site from your PC and have a Google tracker or analyzer installed, you can be tracked.
Both companies track your history, movements and sell your data - that’s just their business model.
Both need “a quick trip into the ash-bin of history”.