The original cages were probably brazed. By welding, I will melt the base material and the cages will look different. Yes I know that is a bit anal-retentive, but that is the way I am. Also, I would be using 14 gauge wire, it is thin and difficult to weld without melting through.

I'm not ruling out welding, but would brazing be that much more difficult than the tig if I get enough practice brazing? This is only a guess, but I think it could be easier.