Can Extra Nodes have node names?

I am wondering if the extra nodes (GSHandle) that appear as gray dots at intersections can be given node names the same way as regular nodes?

No, they do not exist in the file like other nodes, but appear based on the currently active tool. What workflow do you have in mind?

Trying an idea for a measurement reporter that uses node names. I wanted to be able to click on the extra node and use Node Namer plugin to give it a name.