Great post Don.
I think you can add to the list that if I recall correctly, when Lucretius introduces the subject in book one, he adds the proviso that nothing comes from nothing "...at the will of the gods" or something to that effect.
As to the twelve fundamental propositions, yes I have seen commentators with other versions of the list, but they are all assembling them from Lucretius and the letter to Herodotus. The main one that comes to mind was done by Diskin Clay, and one aspect of that one that always stuck with me is that he included the equivalent of PD1, that the gods are complete in themselves, as one of the twelve fundamental propositions.
I believe he includes it in his article, "Epicurus' Last Will and Testamant." I don't remember the date but shortly after I first started studying Epicurus, probably in 2013. I contacted Mr. Clay when he was living in North Carolina (he's now deceased) and he sent me a printed copy. I will upload it and come back here and link it. I haven't read it in years but I am sure you will find it interesting.
Here's the article: "Epicurus' Last Will and Testament" - by Diskin Clay
In case anyone is interested in a Diskin Clay reading marathon, here is:
- his 1967 thesis from the University of Washington: Lucretius' Translation of Greek Philosophy - By Diskin Clay
- his article A Lost Epicurean Community - By Diskin Clay
One more: Diskin Clay - A Brief Memoir for Angelo Casanova (regarding Oinoanda)
Below is a photo of Mr. Clay in his younger years.