If your target is expecting to hear you deliver a convincing rendition of popular material, by all means show them what you can do. However, if your audience is supposed to be impressed with your unique ability to create music, then doing someone else’s music as originally recorded is probably a lesson in futility. If you want to cover someone else’s tune and still impress your audience, then bring something brand new to the material. When this new recording is heard your audience should say, “Wow, that’s a whole new way of looking at that song.”
