I personally don't think survival is a different skill set then bushcraft.
Bushcraft to me is the study and ability to be able to thrive in the outdoors if you needed to in a self sufficiant manner.
It is knowledge based, with equipment being secondary, local food sources etc can be a big part of it.

Survival to me is fighting against what nature throws against you in order to live. The more bushcraft you have the better your chances.

I have lived my whole life in a temperate rain forest and am quite comfortable in the bush, however if I found myself suddenly stranded in a broken down 4x4 in the Nevada desert, I would be in a survival mode and hopefully some of the bushcraft I have would translate over and help me get through it
Having a broken down 4x4 in the wilds of British Columbia would just be a flashback to my teen/early 20's