Yes. Although it's technically a valid loophole, the likelihood the entire universe is set up to consistently give misleading results is extremely hard to believe.
The universe could still be entirely deterministic, in that your choice of experiment and measurement to make was fixed at the moment of creation. But you still believe that the results you are getting are a fair and accurate reflection of how the universe actually works.
Free will (in the philosophical sense) is irrelevant. Your choice of measurement is only influenced by what is happening locally to you at that time. The game isn't rigged to produce misleading results from the very moment of creation for all time.
The universe could still be entirely deterministic, in that your choice of experiment and measurement to make was fixed at the moment of creation. But you still believe that the results you are getting are a fair and accurate reflection of how the universe actually works.
Free will (in the philosophical sense) is irrelevant. Your choice of measurement is only influenced by what is happening locally to you at that time. The game isn't rigged to produce misleading results from the very moment of creation for all time.