Well, science has no way to investigate those specific and unique claims of Scripture and the Church, right? They go against the standard behavior of nature for sure. Can we expect God to allow the scientific method to be applied to those unique events? God could allow that discovery, right? If God willed it. Some people assign a materialist scientific value to the Shroud along these lines.
In the case of the development and age of the earth, well established and well-settled scientific research, observation, and documentation has revealed much. God apparently has willed to allow specific scientific documentation of these matters.
How can I excuse myself from accepting common sense revelation?
How far can I go in ignoring the world around me. God heals people in scripture without benefit of medicine or doctors.
Am I justified in ignoring basic scientific medical advancements when my children are sick, because Scripture seems to contradict medical science?
I am certainly free to do so, but that would be an abuse of my freedom.