I honestly don’t think that it’s really that important to study all the different types of poetry and writing. I think that it’s much more important to just write in the styles and the ways that you feel most comfortable with, which seems to be what you’re doing.
If you’re writing fiction or some type of writing similar to my “Brain Notes," then yes, that is most definitely prose.
I think that writing based on your feelings of the moment is a great way to write, and you shouldn’t worry so much about categorizing your writing or putting it into boxes.
Just do what you’re comfortable with and don’t try so hard to follow any “rules of writing."
But yes, that’s prose! :)