I have never been successful in repairing a horn rod break at the top of the tube, and I've tried a few times.
I have been successful in "splicing" tubes that were bent, corroded thru, etc. I did this by machining a 3" long sleeve of mild steel on my lathe that fits into the tubing, with a hole drilled thru it for the horn wire. I have tried to weld the sleeve in, but I'm not the greatest welder on really thin stuff with my mig. So I turned the sleeve down a bit more for a little more clearance and used JB Weld after cleaning the insides of the tubes as best I could. I also beveled each end of the sleeve so that it was easy to get the horn wire thru. It has held for a long time.
It's probably conceiveable to cut the tube right at the pot metal lever and machine things for some sort of a fit and use a stepped sleeve of some sort to get the right length and a secure fit. If it's a decent platable '32 part, it's sure worth trying a few things.