I thought the word plosive refered to the expulsion of air, reminiscent of the word "explosion." I don't remember using the word "aspirate" at all in my linguistic classes.
Aha. Apparently "plosive" and "stop" aren't exactly the same, though they're often used interchangeably. "Plosive" is another word for "oral stop," which means a stop in which airflow is completely stopped and air pressure builds up and then is audibly released. In a nasal stop, airflow through the vocal tract is completely stopped, but it escapes through the nose (which is not part of the vocal tract).
An aspirated plosive has a delayed voice onset time (that is, there's a gap between the end of the plosive and the start of voicing for the following sound), so it's like getting a little /h/ right after the plosive. You got your degree in speech pathology, right? It's weird that they wouldn't teach you that terminology.
Anyway, the point of all this is that a glottal stop is also (and more specifically) a glottal plosive. But there's no such thing as a glottal nasal stop (because if you stop airflow at the glottis, then none can get through to escape through the nose), so the plosive/nasal stop distinction doesn't apply.