There are several, independent, peer-reviewed works proving the 3.5 Gyr number. There is supporting evidence that there *was* liquid water in that timeframe. This is why it is *called* the FYS *paradox*. Scientists are, evidently, accepting that there was liquid water, and that there was photosynthesis 3.5Gyr ago, and are focussing their efforts on finding the explanation for the FYS paradox.
And you demand that they instead doubt the mutually-supporting evidence that there *was* water, photosynthesis, and generally, life on earth -- and instead, based on some astronomical and geophysical …