i only did a quick readthrough so my understanding of how it works is probably flawed. that said:
you could consider split-tunneling a browser outside of your normal stack for fauxx to pollute. that way your real activity remains as close to "ghost" as possible, and gives your device a fake fingerprint that will fool anyone not directly targeting you.
the reason I'd suggest doing it that way is that nobody's personal device hygiene is perfect. flooding with synthetic data is a great way to help conceal when you slip up.