I don't think you have to limit an outfit to one statement, but also this is what I was getting at: as my style has evolved, my "basics" more and more have a twist, and my definition of statement has evolved too. I would no longer consider animal print shoes as a statement -- I now view it as a neutral!
Also it seems to me that we've been in a style mode for several years now that has been all about statement dressing--- big, bold and piling on more is better. While getting my hair cut, I was flipping through fashion mags and I noticed that many of them were talking about a move towards minimalist trends this Fall. I personally feel this is the natural way for fashion to go, after years and years of very NON minimalist dressing.
And interestingly, in last year or so, I have craved more minimalism too. While absent from YLF I embraced dresses for their simplicity but also I found myself gravitating towards simple color scheme of black, white and one pop of color. I also find more and more that I don't mind a more matchy-matchy look with shoes and bag.
Minimalist when done right is not boring at all. It's clean, simple, sophisticated, polished and effortless.
Note that minimalist is not the same as having a wardrobe full of basics. At least, I don't think it is.