The flip side of this, having the complementary flaw of testing only persistence, not uniqueness, is (warning, real tracking link) fingerprinting.com/demo. You can try resetting your ID and seeing if it changes here. Since tracking requires (a degree of) uniqueness AND (a degree of) persistence, the danger signal is only failing both the EFF test and this test.
Failing both is a requirement to derive meaning, not being lax: measuring only uniqueness would fail a random number generator, and measuring only persistence would fail the number 4.