You are fingerprinted when you find the web link.
I often use Tor, although I'm pretty sure that even then, a good analytics lib can see it's me based on scroll behaviour, mouse movement, time of day, and of course what I browse.
But yeah, you make a good point.
You might not be a unique fingerprint, but at best you are part of a group of somewhere between 3 and 1000 similar users.
Not to be a downer, but when I webscraped I learned that big corporations can spend money to fingerprint you.