I tend to think of fabrication as making your “pattern” from metal and sticking it together with weld/solder/epoxy rather than wood glue. You then skip the casting part of the process. So are left with a fabricated “casting” that can then have the critical surfaces and features machined.
I’ve not found the need to stress relieve anything I have made as the final machining operations after fabrication are only removing a small amount of material any movement is unlikely to happen. I’ll typically leave 1mm on a surface which is a lot less then you tend to have to remove from a casting which can be 3mm plush draft. But if you had the option to heat the whole welded fabrication then it would do no harm.
It is possible to braze with MIG and also tig with the right wire, maybe not quite the same method as building up a fillet with oxy but I would have thought a few runs of braze would build up a fillet that could then be blended and smoothed a lot easier than welding. Also less chance of geting it too hot and having the pool of braze drop on the floor.
Plasma and a linisher or sanding/grinding disc in an angle or air grinder would soon clean up the parts, weld is a bit more forgiving than silver solder if there is the odd small gap.