I defo think this is all part of bluffing. I fold when I am beat, but, I think it is up to you when you do it or not. However, I would suggest not giving away any information.
If you 3-barrel someone with nothing as part of a bluff, you would not show your hand afterwards, unless you were trying to wind your opponent up. If you did show a complete bluff then perhaps it could work out for you, perhaps not. So why take the chance? Let everyone think you are a good player who knows how to play? Just my suggestion, although others will disagree. Gl