You can change some metrics that contribute to the fingerprint between sessions, that the fingerprinting party assumes are stable over time.
There is no utility for the fingerprintor of getting your unique fingerprint, when that fingerprint wont be registered ever again.
If you use Firefox, look up the CanvasBlocker extension. It can even make the fingerprint appear consistent when first party domain is the same.
Imagine the data start pouring in as every client is starting to present itself as a 68000 HTML5 only browser, with no react rubbish or javascript support. We might end up with a simpler, and faster internet again. Plus a lot of big tech and ad companies scratching their heads.