And AI tells me frequently that the New Testament does not lack provenance which was Gordon's point.
If all of history in the UK is methodologically naturalistic that imposes as far as I can see limitations IMHO opinion Technically then, Should Historians be able to declare that the resurrection never happened rather than "the resurrection is outside the scope of history" and even the latter sounds odd.
You seem confused about the two forms of naturalism, as NS notes.
If the study of history is naturalistic the historian could not claim as historical fact anything that is not amenable to naturalistic study: therefore supernatural claims would not meet that criteria - they would be out of scope. To claim the resurrection was a historical event would require a method of investigating the supernatural that doesn't exist, and if it did then 'faith' becomes redundant, so be careful what you wish for.
The best that can be said is that some anecdotes claimed a resurrection but these are decades post hoc, their authors are uncertain, the extent to which mistakes, bias or lies crept in and to what extent there was later editing are all unknowns - therefore provenance is an issue in relation to the resurrection claim. As such it could be said that the resurrection claim is too weak to be a serious proposition from a naturalistic perspective.
Some may choose to believe it but I'd say they couldn't claim it was historical fact without a means to establish that 'fact'.