And I disagree somewhat that the names are really needed at all

You want a diagram containing only icons? You will still need a legend somewhere that explains what each icon means, otherwise you will end up with at least as many interpretations of the diagram as there are readers of it.

And I'd say that that first image as shown is virtually useless anyway. There is little value in just laying out resource components without linking them to system operation in some way -- which means that that diagram can only be understood in its larger context, and that's typically not how diagrams are used: they end up being the main focus of discussions.