Hi Pete,

From what I have been able to gather, J&J do not own the red cross symbol as a trademark as the red cross symbol essentially cannot be trademarked within the US. J&J have been able to continue to use the red cross symbol because the company was incorporated prior to the 18 USC 706 law and due to historical usage the red cross symbol on some of its products and have historically carried on using the red cross on some of its products. J&J cannot have a trademark on the red cross symbol.
J&J I suspect will not have a registration mark beside the red cross symbol because it would be in violation of US law.

Of course the AMR is allowed to authorise its assigned agents to allow the use of the red cross symbol as allowed for under the code. I am afraid that J&J by claiming sole rights within US jurisdiction are on a hiding to nothing.