I don't agree with this either. I am in my thirties now and still stutter but I have made huge progress in the past 5 years. In the past stuttering was a huge part my life. Now, while I stutter from time to time my self confidence means it doesn't matter.
In the past I refused to use the phone. I couldn't. I would be vocally paralysed. Today I spent an hour talking on the phone to a mortgage broker.
The only situation I struggle with is conference calling at work. I haven't thought much on it as I rarely do it. I guess I worry I will get stuck and someone will talk over me.. which I guess is silly. If I did it more I am sure I would master it too.