A solid hard slug that is bore diameter meeting a choke tighter than I/C or maybe modified could likely cause some damage. However, if bearing area is small as with Brenneke style slugs or narrow driving bands with substantial grooves between even hard lead should squeeze down without any damage to the barrel... at least it works for Brenneke. Not sure about the Kynoch slugs for Paradox guns.
At what point does the stress from swaging that slug down cause yielding of the barrel? Partly it would depend on barrel wall thickness, material quality/grade/strength, slug hardness and bearing area. I suspect swaged chokes would be more susceptible to being opened up than a reamed choke as well.
Is is easy to calculate the hoop stress for swaging the slug down but how much does the impact play into this? Kinda like explosive forming, this happens in milliseconds.
I suspect that some destructive testing is the best way to find out.
Longbow