No they don’t.
What they deliberately overlook are claims that purport to be evidence but that do not meet the necessary standards of rigour and quality control needed to qualify as evidence. More specifically, they overlook claims that do not obey the basic rules and principles of accurate and honest weights and measures. And they should deliberately overlook such claims, because that is what the Bible itself demands. For example in Deuteronomy 25:13-16:
¹³Do not have two differing weights in your bag — one heavy, one light. ¹⁴Do not have two differing measures in your house — one large, one small. ¹⁵You must have accurate and honest weights and measures, so that you may live long in the land the Lᴏʀᴅ your God is giving you. ¹⁶For the Lᴏʀᴅ your God detests anyone who does these things, anyone who deals dishonestly.
As I said, tiny samples with huge error bars are not evidence for absurd new laws of fantasy physics (e.g. billion fold accelerated nuclear decay) that would have vaporised the Earth if they had any basis in reality. And a minority of discrepancies of a few percent are not evidence that hundreds of thousands of other measurements are consistently out by a factor of a million. These are general rules of accurate and honest weights and measures that apply to every area of science, whether “operational” or “historical.”