From "Marina and Lee":
"Marina later made a terrible discovery [after the police left from their search of the Paine's home]. She happened to glance at the bureau and saw that, again by a miracle of oversight, the police had left another of her possessions behind. It was a delicate demitasse cup of pale blue-green with violets and a slender golden rim that had belonged to her grandmother. It was so thin that the light glowed through it as if it were parchment. Marina looked inside. There lay Lee's wedding ring.
"Oh, no", she thought, and heart sank again. Lee never took his wedding ring off, not even on his grimiest manual jobs. She had seen him wearing it the night before......"
Again: He took it off and placed it in Marina's demitasse cup. And he left nearly all of his money. Marina said he would leave a few dollars for her on Monday when he returned to his rooming house. But not $170. And it wasn't Monday that he left her the money. It was the day of the assassination. Even though, she said, he told her he was going to see her on SaPersonay.
No, for the Oswald defenders, it's NOT proof he shot JFK. No one has made that claim of proof. But it is, as Marina said, acts that were extraordinary for him.