I think I can answer that the question about the dog usually they will stop when they figure out what they are chasing is not prey. As for the terrier it is all in how the hounds are brought up.
Rocks is dead on the money but of course there are always situations that aint good. Some of these Stags can literally not be trusted around nothing, not even each other at times but those kinds are usually dealt with quickly when somebody becomes aware of it. Problem is that sometimes, you just dont know til its too late and with these dogs if it kicks off, it is usually too late.