There is supposed to be a difference between Sensory Integration and OEs but I can't perceive it.
Grinity, I agree. The only difference between the sensory manifestations of OE and Sensory Integration Disorder (or Dysfunction) that I have ever been able to perceive is that OE is not a pathologized term, and SID is. It may be better for some people's self-esteem to describe themselves or their children as having OE related to giftedness than it is to say that they have a disorder of sensory integration related to their nervous system processing, but if the OE/SID is causing distress in daily life, then I think that considering it as pathological is really warranted, considering that there are therapies that can make it easier to handle.
