You could say that PPL training is all about loss of control training, without it most people would loose control quite quickly. By training a pilot to control an aircraft throughout its normal operating range, they demonstrate their ability and obtain a licence. Aerobatic training will stretch the envelope further and is about controlling an aircraft at the edge of the aircraft's envelope.
More complex aircraft require "Type Rating" training which will address the relevant issues associated with that type of aircraft, its systems and the effect of system malfunctions.