It sounds like DID.
Maybe you could get a neuro-psych test to get a more objective diagnosis, or if anything, to rule out other causes? These are done by specialized psychologists who do comprehensive interviewing and collect quantitative metrics to assess you. I'm not sure how much this procedure is warranted to determine whether or not someone has DID, but they often have the most expertise when it comes to finding the cause(s) of cognitive issues. In addition to mental disorders, they can detect things like heavy metal poisoning, memory problems, sensory dysfunction, TBI, etc., and can spend at least 4 hours testing you.
It sounds like your neurologist ruled out neurological problems, but a neuropsych assessment can help rule out other things or get you an accurate diagnosis. I'd be especially concerned about your visit to the ER, and the propensity of that happening in the future.
I'm not sure what the controversy is with this diagnosis. If you (or through others) perceive that you have different personalities, then you have different personalities. Just like if someone with psychosis sees and hears things that others cannot perceive, then they have psychosis.
I have DID, but not to the extent that you do, although I'm not so sure and am often uneasy about it. There has been several times where I "turned into" an 11 year old girl, observed myself talking, behaving, thinking and feeling like I was 11, with absolutely no control over it. I'd get in these states for hours. There are other things..The stuff that has come out is not scary (some of it has actually been pleasant), but it makes me wonder what else there is that I am unaware of. It has been really distressing at times because I sometimes think that I am in another semi-permanent "state", but I am so unsure of myself. I feel that I have totally changed my personality several times in my life. I have severe memory problems, and since therapy, it seems to be more memory retrieval issues than other types of memory. My last T said I have "splits". That's an old-fashioned way to refer to it I guess.
Anyway, it's different for everyone. Does it matter to you if your T does not think you have DID? My concern for you would be the occurrence of future episodes that impair your functioning if it is not presently adequately addressed. I really know what you mean about feeling so unsure.