Earlier quoted context omitted.
The name "von Neumann" is rightly applied to this, because von Neumann was the first who has written a complete and consistent description of this architecture, so that anybody could understand it and build computers based on this architecture. The Eckert group had some rather vague ideas about the architecture of their future computer, the successor of ENIAC, and those ideas certainly included some kind of stored pr…
They were "secretive" because they were obligated to do so. It was a secret, military project, and nothing could be published. Ironically, it was the security officer (H. Goldstein) who (illegally) circulated the Neumann paper; no one had expected it, least of all the actual inventors.
I have not seen any document from them that could establish credibly how much von Neumann learned from them and how much they have learned from von Neumann.
At least in other cases where some people had secret knowledge that became public only much later, e.g. in the case of the public-key cryptography discovered by the British before Diffie-Hellman-Merkle, they could show some classified reports containing the secret knowledge.
The Eckert group has not shown any previous documents containing the ideas from the von Neumann report, but they just claimed that most ideas have already been communicated during the previous discussions of the group.
That might be true, or not, but it does not matter much.
Only the publication of the von Neumann report was really important, regardless who was the source for the ideas contained in it.