Does speaking from the diaphragm really help a stutterer?

Does speaking from the diaphragm really help a stutterer? I have a really severe stutter that prevents me from having conversations like everyone else. Always had the stutter but off late its because really bad. I met a counselor some time back who was trained in speech therapy too. I have to first say that he is the BEST counselor I have ever had till date. Anyways he told me about one technique that was supposed to help stutterers. Breathing and speaking from the diaphragm (which is near the stomach area). He said that I should practice breathing with my diaphragm and imagine that my speech is coming from there. Inhale first and then enunciate the words during the exhale. I've always had trouble putting this into practice. First of all for someone who's never done it before, it looks, sounds and feels super weird. I don't know how people in public would react if they saw someone speak like this. I did try it a few times with the counselor but it didn't really seem to help. I still stuttered severely. I sing though. I play guitar and sing along to the guitar. I have no problems singing, I can even formulate spontaneous sentences while singing and its smooth. Singing is done from the diaphragm. I sing soft and often go very loud (hard rock screaming vocals). I know that singing and talking is different but I've always wondered why we can't replicate what we do in singing, when we talk. Can it replicated? There's obviously something going on in singing that is not there when we talk. Any ideas? Has anyone here learnt to speak from their diaphragm and use that to overcome the stutter?