No, that means you don't fit the traditional picture of those disorders, or possibly that your pdoc needs more time to narrow things down a bit. Here's what the DSM-5 has to say about Bipolar Disorder, Unspecified, for example:

This category applies to presentations in which symptoms characteristic of a bipolar and related disorder that cause clinically significant distress or impairment in social, occupational, or other important areas of functioning predominate but do not meet the full criteria for any of the disorders in the bipolar and related disorders diagnostic class. The unspecified bipolar and related disorder category is used in situations in which the clinician chooses not to specify the reason that the criteria are not met for a specific bipolar and related disorder, and includes presentations in which there is insufficient information to make a more specific diagnosis (e.g., in emergency room settings).

It could also be that your pdoc has decided you fit a specified disorder within the bipolar category, but just hasn't bothered to update your chart. That does happen.

If the diagnosis stuff bothers you, I would bring it up at your next appointment to get clarification.

I don't think it's overreacting if you need to take time off work due to your mental health. I'm sure you'd rather not feel the way you do.

ETA: I'm not sure what you're looking for with what you put under the trigger in your earlier post, but do feel free to PM me if you want.

ETA2: Your school might have online access to the DSM-5 if you're interested in seeing how these unspecified disorders are described for yourself. That's how I got the snippet I posted - through the DSM-5 (Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition) online ebook I can access through my university.