I feel like there are two levels of fingerprinting here, and a lot of the confusion is downstream of not properly distinguishing them:

There's the kind that tries to find out what browser vendor, OS, and sometimes hardware you use, and the kind that tries to identify you across visits, unrelated origins etc.

I agree that the former is probably inherently impossible to avoid to a large extent, but the latter is both a bigger privacy issue and at least in theory possible to prevent.