In the U.S., device setup time (to the second) very conservatively gets you clubbed into a single group of 100 individuals as an "advanced persistent threat" tracker. Even compressing activations to "80/20 during business hours" the math kindof maxes out at a pool of ~5 people, and assuming worst case "20x" of that still means you're still pretty darned identifiable.
If you get ~6-8 more bits of entropy (eg: Device Type + Capacity is easily 2-3 bits, and Time Zone is probably another 2-3 bits) you're cooked!
If you use a closed source browser. That’s the kinda shit they do.