Pediatricians know nothing about stuttering. The "wait until the kid is 5" is based on nothing but social myth. In SOME kids, waiting is appropriate. In others, it is not. Early childhood stuttering is complex, there are a number of factors that indicate risk of continuing vs recovering, it's always a nuanced question that is different for every child. This does not mean your pediatrician is bad at their job. It's a reflection of the fact that stuttering was poorly understood for many years, and pediatricians don't get much training in speech and language development. Quite frankly, even a lot of SLPs have mistaken ideas about stuttering. Find a specialist who is at least willing to chat with you. Therapy may or may not be the right move at this point. But you want to make sure you're getting good information as you make that decision for you and your family. (Source: am stuttering specialist who is very tired of having to chase after bad pediatrician advice)