The Turing Test is a test of mimicry, not of identity. It's based on a metaphysics that says appearance = reality, which has all sorts of issues. There are plenty of ways we can distinguish humans from machines and I expect this other "background information" (primarily biological in nature) will play an increasingly important role. Especially embedded cognition and the gradual realization that intelligence is embedded in its environment, not some kind of abstract, external entity.
I wrote this comment a few weeks ago, maybe relevant here: https://news.ycombinator.com/item?id=37221294