DID is still very much stigmatized in the mental health community. It's inclusion in the DSM hasn't done much to reduce the stigma that became attached to it during the 80s and 90s and the "false memory syndrome" debacle associated with that era. In a recent thread about DID on a therapists forum (in which most participants are based in the USA) only about 3 of the respondents said they have ever treated or diagnosed someone with DID while the vast majority of therapists said they didn't believe it even existed and were very skeptical of therapists who said they had seen it.

Meanwhile the general public is still really only informed on the topic by whatever garbage they are fed by the media. So. Yeah.
The general stance on DID tends to be one of two extremes: The majority of people are either informed by Sybil, the Three Faces of Eve, The United States of Tara, Split or Billy Milligan; or they believe its a fake disorder caused by bad therapists.

Thankfully there are also many wonderful therapists and researchers out there who carry on doing what they know regardless.

This is definitely not a "disorder" that anyone wants to have. It is far, far less socially understood or recognized than many other mental illnesses such as schizophrenia or bipolar disorder.