Hope that clears for you what my use of the term means. As I said, in my general communication I don't usually use it..
Unfortunately, I think your definition is rather self-referential, using the term to define itself, and it still leaves some important questions unanswered. You can say that it's the nature of rivers to run. It's also the nature of rivers to back up when they are dammed, and when water is released from that dam, it naturally produces energy as it seeks a lower level. So is a dammed river part of "nature" or not? For that matter, nuclear fission also occurs in nature.
My point, if you haven't guessed it, is that "nature" is a friendly-sounding, comforting term...but as we can see with the items on our supermarket shelves, labeling something "natural" doesn't always make it good. Not only can the meaning be distorted, but there are plenty of natural phenomena (syphilis, earthquakes, tsunamis) that do harm.