I think Esav summed it up quite well.
I think of it this way. Survival means I'm in a circumstance I didn't want to be in and am doing whatever I need to do to make it through it. There is the understanding that it will likely not be comfortable but I will make it through it.
Bushcraft on the other hand implies that I wanted to be in those circumstances, meaning here that I have chosen to be in the woods and want to work with what nature provides to exist, albeit it temporarily, in a comfortable, healthy, and fun manner. In otherwords, I want to learn what all God has blessed us with through nature and to use that. As Esav implied, it generally means a lack of stuff (not minimalistic but just don't need to carry the whole house). It also means a working knowledge of nature for a given area and what all I can use from nature to exist, not just survive.
One other way to look it is this way, survival implies an adverserial relationship, fighting against nature to live, while bushcraft implies a symbiotic relationship, nature provides most of wat I need while I take care of nature.
Charlie