I’ve sent hundreds of them out to be nitrided. The answer is, it depends. If the joint was properly fitted and brazed they’ll stay on with no issues, silver solder melts at 1250deg IIRC. If they are poorly fitted and brazed I’ve had them come off. A poorly brazed sight ramp may stay on under normal conditions for decades with one tiny point of contact actually brazed but the extreme heat and expansion of the nitride process may make it pop off. The only way to really tell is to do it.
If everything is good it shouldn’t. If not and they come off we just learned to deal with it. Sights that came off I’d usually drill and tap them back on with a screw hidden under the dovetail and a good epoxy under the ramp. Bolt handles I’d clean up and TIG weld before sending back in to be treated again. Not much else to do. I’d say normally your odds are %95 or better of no issues.