That is a different looking live trap. The one I have is just an ordinary cage and it is always a struggle deciding what to do with the skunk once we catch him. I know for a fact that they CAN spray inside my cage style trap so they usually end up being shot from a distance and we deal with the smell for a few days.
I would have to surmise from your post that the skunks do NOT spray inside your trap? I think I would like to get one of those.
Regards,
Dave.