Brilliant marketing move though, calling it "nonviolent communication", implying that any other form of communication is violent. The only better example of this tactic I've seen is "pro-life" (implying that those who don't want to ban abortion are anti-life).
If you use this conversation style, you will get a bimodal response. Conversations with some people will be a little smoother, but conversations with others will be much worse. To those people, you will come off as assuming that they are weak and can't take criticism. Or worse, you'll come off as a mealy-mouthed phoney.
I cannot emphasize enough just how condescending I find this style of speaking. I think the only way a conversationalist could annoy me more would be to clap between every word.