The use of the word "Radio" in a product name "may" be just capitalizing on the popularity of Radio. I have seen this many times in products from the 1920's, and 1930's, when radio was going great and everyone wanted to be associated with it.
The images posted of this photo appear to be from the 1920's. Making an image on copper plate is not that unusual, although primarily engraving on copper plate was done for making printing plates. It would be only a minor modification of the copper plate engraving process to produce a positive image for viewing. The plate-making process involves exposing a plate with a UV-light sensitive coating, with a negative. The coating is "developed" leaving behind a layer representative of the image, and then the plate is acid-etched to create peaks and valleys in the metal which represent the image. If the valleys were filled with a pigment, then you would have an image such as the one shown in the sample linked thru the discussion linked in the first post.
The image-making process is not very unique. The "name" of the Process, "Radiotone" is probably a trademark of one vendor for this process, rather than a generic name for the process.