I tried the amiunique fingerprinter with my iPhone, software updated to the latest version, stock Safari browser, and it said I was unique among all however many users had tried before.
There are a few studies that used sites like that and got lots of traffic (by advertising on sites like HN) from non-normal users.
There was a landmark study done in France that measured fingerprints through a government website. The general population was much less unique.
Edit: found the AmIUnique paper: https://scholar.google.com/scholar_lookup?journal=Proceeding...