"I have always thought that cast iron was virtually unweldable by any method, let alone Sif Bronze!"
No, CI is very repairable with bronze welding. I do repairs that way regularly on CI items, as did my father and grandfather before me, who taught me how to do it. (They were small town car and agricultural repair professional mechanics and worked on everything mechanical. )
Vee out the joint , get everything clean with grinding or at least a stainless steel or steel wire brush, heat both sides to dull red heat before applying bronze. Use the flame to "wash" a bit of flux onto the joint off the rod. Continue heating until the bronze starts to run and fill the joint. If the bronze starts balling up, or you get a pocket that won't fill over or fill evenly, it's likely dirty. Clean it up by a bit of grinding and try again. Everything from car manifolds, engine blocks/heads with freezing damage to pumps, handles, impellers, machine parts, and tooling components in cast iron can be repaired this way. Welding cast iron with any electric welding method is more difficult and riskier than bronze welding, because the joint is brought to heat more gently by oxyacetylene heating, reducing internal stresses, and because the process is not as hot as electric welding, there is virtually no carbon migration to the weld puddle boundary. This is a major issue with welding cast iron electrically, and is dependant on the metallurgy of the CI of the original parts as well as preheat , current/weld heat and type of rod used in the welding ops. I have seen many electric welds in CI parts fail where the new weld and original broken portion of the part just pulls away from parent metal and you can clearly see a zero strength soft carbon layer at the break. Electric welding CI certainly can be done, and I have done it for applications with parts operating at very high heat, but generally bronze welding is far less risky for applications operating with lower heat or no heat. To fix such failed electric welds the carbon can usually be ground out and the joint bronze welded as usual.
I know for a fact that literally hundreds of bronze welds on CI I did as long as 30 years ago to recently are still in service in many types of machines with no problems at all. I have several in my workshop downstairs, too.
(Do note though for extreme heat applications in CI , ie operating at red heat, like in diesel engine cylinder head valve seat repairs, bronze welding is not the best choice.)
Good luck with your handle. JD