You said, “To create delay greater than the transmission distance divided by light speed requires recording somewhere.”
I said that is not true. That is because it’s not true. You can record a signal without slowing it down. Well, before I get into any potential quantum physics fallacies, let me be more precise in my language:
You can not slow it down enough to be perceptible by human beings.
You are appaerently deliberately misstating my assertion.
There is no way to create a delay greater than transmission time without storing the data somewhere for rebroadcast.
Creating packets stores, but not permanently, not usually perceptibly. The delays that are occuring definitely require storage for rebroadcast.