There's a pretty good size of metal there. That strap style stop would obviously work but it seems like a rather cobbly looking option.

Another option is to clean it up and silver solder on a new stop which you'd buy from a frame parts supplier.

Yet another way is to make up your own U shaped sheet metal stop and pop rivet it on. Such a stop would be best made from 16ga steel for good strength and long term durability. It would be done as a !_! shape wiht holes in all three sides. One upright would be a small hole which fits the cable nicely. Opposite that would be a hole for the housing ferrule to fit through. The hole in the base would be to fit a 3/32 or 1/8 diameter pop rivet. Or you can get fancier if you have the tools and skills to carve something out of a different metal and rivet it on. Just do the job with some sensitivity to the frame. There's not a lot of metal thickness in the stays other than where that little blob of welding or brazing is located.