No, shooting slugs through a choke tube is OK. I am a Armour for my agency and we shoot slugs out of them all the time. And as stripercrazy and stapher1 said, they make different styles for them and even rifled tubes as well, and they all work to boot!!
I have even seen guys shoot traditional slugs and even the saboted slugs out of a full choke without harm. SO FAR!!!! But that being said, I would not go over a modified constriction due to the funneling down affect and the sharp pressure spike of such being done.
Its also to be said that one does not increase or decrease accuracy over another. You just have to experiment with what your weapon prefers. Foster type, Lightfields, Brenneke,etc...