Funny - I just started the baking soda/vinegar hair trick about a week ago! I'm having similar results to yours. My hair is softer and less staticky, and less oily (which is Saying Something because my Greek heritage manifests in oily hair and skin). I need to get a good hairbrush though. Right now I just use a pick and comb...

I haven't researched "no soap" but I do use Dr. Bronner's, and that in extremely judicious moderation.