To use hypothesis testing, you first have to declare the null hypothesis and, in statistics, decide on a model by which you will test the null. In this case, can you state what the null hypothesis is and the model? It's unclear to me. There is no obvious probability distribution of p-values, and any assumption as to their distribution would be hard to defend.
And that's why, I suspect, no null hypothesis is stated or tested.
And that's why, I suspect, no null hypothesis is stated or tested.