Looks to be a vanishingly small difference if they guessed correctly, the first time they were asked, 94.7% of the time with 90% confidence.
It seems reckless to presume the difference (between blinded and unblinded) is small. The numbers you cite (94.7% and 90% confidence) have nothing to do with the question you're trying to answer.
For example, an important difference may be with respect to expectations. If you're told you're receiving a psychedelic treatment, you may go into the experience with different expectations than if you were unsure about what treatment you were getting.