Karen L. King (no relation) is a very well regarded scholar when it comes to religion.
The problem here is that this piece of papyrus seems to have been made by a clever faker, and a it comes from the art market without a provenance, and seems intended to be sold again on the art market. Many great scholars have already discussed how blank papyri of the right date can be bought and ink faked; they have discussed the issues with the brush used, and the problems with the wording almost exactly copying the spacing of other texts.
They have also discussed the fact that the people given as the provenance are all dead and that the heirs of the 'owner' Hans-Ulrich Laukamp claim he never collected or owned antiquities nor had any interest in them.
The Curious Case of Jesus’s Wife - The Atlantic:
The same man provided King with five other ancient texts from his collection: a cache of papyri that he said he’d purchased from another collector, a German man named Hans-Ulrich Laukamp. The contract for the sale from Laukamp to the anonymous owner indicated that Laukamp had purchased the papyri in East Germany in the early 1960s. That was as far back as the trail went.Once again a seemingly fake provenance to Communist era East Germany is given because those are harder to check.
The only point I would like to make in addition is a simple one. Although I was not alive in the 1960s, I spent a lot of time as a child visiting my grand-parents in Communist era Poland. They were fortunate enough to have a much better life there than the average Pole, and the black market was very active in Poland but ... there is no way in hell anyone would have been stupid enough to sign a 'contract' or issue an invoice that would provide proof of these illegal and strongly punished black market activities. Only a forger with a serious lack of a grasp of the realities of modern history would try to claim otherwise.