If you're interested in the topic, it's a pervasive and not-fully-solved problem even in well-intentioned research, where special care is needed in order to avoid accidentally re-identifying individuals in anonymized data simply because they are too unique.

Another classic example of this is behavioral uniqueness. Maybe 10 people got coffee and a donut at the corner store at 8 AM, but how many of them also went to work at ABC Corp that day and also got a pepperoni roll at the pizzeria for dinner at night? Probably just one person did that.

The thing is it's not just a few parameters. Modern browsers provide thousands.