After rereading your thread started posting and my post I realized I only answered your title question but forgot to answer the inside the post questions...

no my alters did not get labeled different diagnosis's then I did. short version I was diagnosed as an adult with DID not in childhood, therefore none of my treatment providers knew I had DID until .........after.......I was in college and underwent diagnostic evaluations as part of the college psych class requirement for all the students in the class.

each of the diagnosis's in my life were wrote on the files as Amandalouise is diagnosed with.....

my mental and physical health filed .......do not.......say:

Rainy is diagnosed with.....
thelma is diagnosed with....
Red is diagnosed with.......

basically though I had alters it was one shared body so "as a whole part of the package of being one body" the files state it is me Amandalouise that has/ had each of those disorders...

also when my alters all integrated with me everything they were became me so again the files were reflecting the whole of me. all parts of me that made up who and what I am who and what my alters were and so on, under one body.

to find out whether each of your alters are diagnosed with something different contact your own treatment providers and have a look at your mental and physical health records. they will state whether your alters are diagnosed differently than you are.

if like my your files say the body person is diagnosed the disorders that the alters have you can ask them why they diagnosed the way they did.