Currently, poetry collections are tagged as fiction/nonfiction in addition to poetry. Fiction and nonfiction are prose genres, distinct from poetry; poetry is neither fiction nor nonfiction.
Personally, this means I don't really track my poetry on the app, as it messes up my stats for fiction and nonfiction.
This also means that works of literary criticism have their genre marked as poetry. In other words, both a collection of poems and a work of prose literary criticism can be marked as nonfiction poetry.
The same also applies for drama pieces. Shakespeare was not a fiction writer; he was a playwright: he wrote neither short stories nor novels; he wrote plays/drama. That should be reflected by the genre when you have read a play.
This would also make for deeper accuracy in the stats and allow better tracking.
Respectfully, I disagree. Poetry, prose and drama are categories pertaining to form, whereas fiction and nonfiction are categories of content. A poem can either be fictional ("sleeping beauty" by Lucille Clifton) or nonfictional ("the lost baby poem" also by Clifton). Similarly, a fictional story can be told in the form of a drama (Hamlet), as can a nonfictional story (like The Vagina Monologues, as an example). One could debate/disagree about whether a specific poem or play is better classified as fiction or nonfiction and those considerations certainly add complexity to the conversation. But they don't change the fact that "play"/"poem" and "fiction"/"nonfiction" are not mutually exclusive categories.
I do agree with you on the academic works marked under poetry, but otherwise, the marking of fiction, nonfiction, poetry, and drama as distinct categories without overlap is a marketing thing created by booksellers and has little to nothing to do with the actual text itself. And I highly appreciate SG's sensitivity to those nuances.
The stats and categorization on SG may not be perfect. Decades of archive theory tells us they cannot be. But this is one of those things they have gotten right and I hope they don't change. Just because it wouldn't be accurate.