Not sure which extra metal you are referring to, but the JJs have a chrome plate between the halo getter at the top and the actual anodes. I'm not sure what the plate by the getter does other than possibly manage heat inside the vacuum or it kept flashing off the works below when the getter was first used during testing? JJ also has a sleeve around the cathode outside the anodes, presumably to manage flow of electrons and ensure flow is efficient and only through the grid maybe? Really don't know. But if I'm right, these would be all functional elements and have nothing to do with the resulting sound or audio signal performance. The other one, havlng long plates, doesn't have room for those elements.
Also I'm not aware of EH making a long plate 12AX# type; I think you've got something else there. If NOS, most likely RCA, GE, Raytheon, Mullard, Siemans, Telefunken, Amperex, Westinghouse/Sylvania (can't remember which one actually made the tubes; there was a lot of rebranding back in the day, and some of that continues to this day). Have to look if it has a country of manufacture either in the printing or particular markings in the glass itself.