None of this touches a single miracle — it is always background, never the claim
The objection
Look at the actual list. A dynasty is named. A king's seal is genuine. A governor's title is correct. Two towns really were the last ones standing. Every one of those is a fact about the ordinary furniture of the ancient world, and not one of them is the thing anybody is being asked to believe. Nobody doubts that Judah existed or that Pilate governed it. The disputed claims are that a sea opened, that a man walked out of a tomb, that a voice spoke from a mountain — and archaeology is structurally incapable of confirming any of them, since miracles by definition leave no repeatable trace. So the entire enterprise amounts to demonstrating the reliability of a book's stage directions and then hoping the reader generalizes to its plot.
The response
Grant this completely. It is correct, and any presentation that blurs it is misleading its readers. Archaeology cannot confirm a miracle, and this page will not pretend that a bulla in the Ophel says anything about the Red Sea. What can honestly be said is narrower and still worth something. First, the claim being tested by the spade is not is this miracle real but is this document the kind of document that gets things right. A text that names the correct title for a Roman governor in the correct decade, and names the correct two towns still holding out in the correct month of a siege, is a text written by people close to the events and careful about them. That does not make its supernatural claims true. It does move it out of the category of late legend composed by people with no access to the period — which is a live and serious alternative, and one that this kind of evidence genuinely bears on. Second, the direction matters. If the background had failed — if Judah's kings were unknown, if the titles were wrong, if the towns were fictional — the objector would rightly count that as damaging. Evidence that could have counted against a claim counts for something when it comes out the other way. Just not everything, and not the miracle.