After being diagnosed with something in the DSM - I experienced this myself, and have been very aware of the Heisenbergian side effects of labelling and observing something like this in a specific concrete way.
Common wisdom with some psychological diagnoses is that the symptoms often seem to get worse after diagnosis because you start to notice the problems more. But I think there is an "identity" element to this too as you elude to.
I think this is somewhat inevitable, but the question is, even though you may be subconsciously influenced by the diagnosis itself - is it still better to have such a diagnosis and to be able to work with that information - versus not?
From my own experience, I'm not quite sure - but I'd probably lean towards having the diagnosis still being the better option.