You're welcome, Stu. We all try to help one another, here. We don't always have the same tachniques, which is great because we can synthesize improvements learning what others do. Gib presents another methodology that surely works effectively. This is one point that's apparent: there are different techniques, or sequences, if you would, to get to the final endpoint of a piece of cable welded inclusion free. That is why it is difficult to present a "surefire" single method.
I take the long hunk of virgin cable, wire the free end and about 7-8" back, then cut it with a chopsaw. Then I weld on a handle, nowadays 1/4x1" flatstock. I then heat to a red, allowing the goo in there to burn out, then flux, heat til it bubbles, scrub the exterior with a wire brush, reflux, reheat. I then hammer-weld about 1" of each end squarish in two heats to have tight ends that don't fray. After that, I do two welding heats, with flux, and twist the cable as tight-shut as possible. Gib is totally correct, there is a lot of welding going on there. In my case, the hammered ends make it a bit easier for me to secure one end in the vise and the other in the wrench, which is a 14" pipewrench with a rebar handle welded onto the head end so there are 2 handles. That is the end of the twisting for me, usually. I then proceed to do the hammering in the round, with the anvil shelf, as described above, and inch or so per heat. When the billet is fully welded, I move to my press, and squish it to square with a set of squaring dies. How much additional interior compression goes on there, and how many final voids are closed I don't know. After it is squared, I then flatten on the press. At that point I cut off an inch or so from each end, those initial hammer-welds I made for twisting. I now have a billet ready to forge a blade.
I have intended to make a set of round swages for the press, to see how it welds the cable, as you have suggested, Stu, and I think that will work. My concern is whether that little arbor press will produce enough squeeze to close it up completely. I have my doubts, I must admit, but don't want to discourage experimentation. There is only going to be one way to find out, of course, and that's to try it. That will cost you considerable work to ascertain functionality, and might well fail. It will be up to you to determine if you want to expend the effort and expense. I have to say that I have not heard of that being done before. I do know, however, that one can weld the cable by hand without any brute force hammering. If you haven't tried that yet, I recommend you give it a whirl before investing in that arbor press. Even with the arbor press to squish it some, I would still personally want a couple sessions with the hammer before i started to flatten and draw. One important thing to remember is that in a press, force is spread out over the surface areas of the dies, so that the bigger the die, the lower the PSI. We call it a "20 ton" press, or whatever, but that is really not the loading calculated for the surface area of the whole die. That means you will be constrained to very small dies in that arbor press or the force will be small.
With what Gib and I have written, I think it will be a pretty good starting point. Do not expect immediate inclusion-free results. I remember when cable first started appearing, there were often a couple inclusions visible, acceptable at that time for this material. 20 years later, that is no longer the case. It will take a few tries, and even down the road you will still be "surprised" when you find small areas that didn't close. One thing I would strongly recommend: start out with virgin cable. You do not want to find out there was a bunch of sand and grit stuck inside the piece from using cable end retrieved from a construction site. Gib obviously has knowledge of the possibilites of crap inside, or he wouldn't take it apart. I just hate messing with that Rubic's Cube of putting it back together. I was given some marine-tow cable once that had enough crap mixed with heavy grease inside to start a kid's sandbox....unnacceptable!
I think one of the most important points is that the billet, whether squared or round, is not flattened too early in the process. Twisting is also critical, and perhaps I didn't stress that enough, earlier. I sometimes take these things for granted and may assume it is understood. Apologies if I misconstrued things. Hope we have helped.