I think anyone who spends time in the outdoors whether for hunting, rock-climbing, remote-mountain biking, kayaking/canoeing, skiing, camping/backpacking, bird-watching, day hiking, or the general recreational enjoyment of bush-crafting or practicing primitive living skills, needs to have some basic level of skills generally associated with survival.
Avoiding the threats often associated with survival such as dehydration, hypo/hyperthermia, mechanical injuries, exposure are what I would focus on regarding survival and that can happen to just about anyone regardless of caution and preparation. Having the basic skills, training and minimum of essential equipment is prudent insurance for anybody, including the so-called primitive or bushcraft enthusiasts. I do think those practices contribute greatly to the level of skill necessary for survival, but even those skill-sets dont cover the more essential survival skills such as signaling, first-aid or just trained to recognize the onset of threatening conditions be it weather or health related.
Most enjoy the art of constructing a rain/wind proof shelter, building a fire, purifying water or fabricating items to make outdoors more enjoyable. Those skills are important to anybody that may be more than a days distance from civilization or if they have a mechanical injury that prevents them from moving fast or far. I would hazard to say the basic skills of bushcraft are the foundational skills necessary to learn survival.
If I know the basics of how to make a primitive fire, I have the knowledge and skill to use a lighter or match even under more extreme conditions. If I know the threats of conduction, convection, radiation and evaporation and have practiced improvised or primitive construction, I know I can take a poncho or siltarp and make are much faster shelter to avoid exposure to extreme weather conditions. The same principles apply.
Other skills such as navigation/orienteering, signaling, basic/advanced first aid are staples for all.
I think where people get hung up (especially watching reality survival shows) is the need to trap, snare, forage or fish for food. Under most conditions, food isnt a necessity for a 72-hour survival situation. Sure, there are extreme temperatures or activities that require increased caloric intake, but most conditions require more immediate emphasis on first aid, shelter, signaling and water.
I think the skills and practice of bushcraft/primitive practices provide a good foundation for general survival. Not all will want to delve as deep as some, but all should acquire the skill and training necessary for those basics often needed during actual situations where immediate actions are needed to avoid incapacitation; first aid and protection from the elements. The subsequent skills are needed to survival beyond that (fire, water) and signal for rescue.
ROCK6