The differences between studio lighting techniques could be loosely defined as follows:
Basic: using a single on-camera flash as a simple fill light. As such, it serves to create an even lighting throughout the composition. While clean and allowing to produce sharp images, some people may find it too flat and unexciting.
Advanced: using a single light source placed off-camera to produce a more dramatic effect or Rembrandt lighting. Another approach is to use multiple studio light sources of varying power and softness to add dimension, finer illumination control, and more cinematic effects. Greater time is needed to manipulate such light, slowing the process but resulting in more striking images.
Creative: in addition to the advanced techniques, using innovative tools like color gels, a beauty dish for an intriguing light fallout, experimenting with shadows, casting light and shadow shapes with cutouts, developing special effects like rim lighting, creating a silhouette, etc.
Advanced and creative lighting does not necessarily replace or exclude basic or natural light; they expand the possibilities and are used in a fitting conjunction.