I have a percussion 12ga with a choked barrel. I fire it with no problems at all. The only way there's a problem is if the cards/wad can't get past the choke. I cut my prelubed wads into fourths and turn them sideways to get past the choke then flip them with my finger. Over shot cards are the same way.

I know some people use 3 or 4 OS cards in place of a wad with good results but I prefer having the lubed wad.