Even if Hoshea is not RJE, the Torah of RJE is his Torah. The innovations of D are later, and are called "Lo-Ruchamah", after Miriam, female. The innovations of P are yet later, and they are called "Lo-Ammi", after Aharon, male. The fast of "17" Tammuz is today. The reason is "Lo-Ruchamah", no pity.
Then we enter the three weeks until Tisha B'Av, The reason for Tisha B'Av is "Lo-Ammi", not My People. Some say both "Lo-Ammi" and "Lo-Ruchamah". You are not My People and I will not be yours. Yet, it will happen that instead of "Lo-Ammi" they will be called "Children of the living God". That is why you are fasting.
But the fasting is only a means towards a goal, and the goal is to "seek out HaShem their God, and David their king", and to "tremble for HaShem and for His goodness in the end of days." (Hoshea 3:5)
Jezreel, finally, is the father of "JE", and of the reconstructed version. A reconstruction of JE is certainly tainted by contamination from D and P: Jezreel has the same "Yichus" as Lo-Ruchamah and Lo-Ammi. There is something similar. Nevertheless, JE is incomparably greater than D and P, like Moshe is greater than Miriam and Aharon.
Those who think that there is an intended relationship between my version of JE, and "the reconstructed version", let him, of her, think twice. Better still, let him come with his own proposal. If only all of Israel would start making their own proposals.