For my use case I wanted streaming parse of strings, I was rendering JSON produced by an LLM, for incrementally rendering a UI, and some of the strings were long enough (descriptions) that it was nice to see them render incrementally.
I _think_ the intended use of this is for people with bad internet connections so your UI can show data that's already been received without waiting for a full response. I.e. if their connection is 1KB/s and you send an 8KB JSON blob that's mostly a single text field, you can show them the first kilobyte after a second rather than waiting 8 seconds to get the whole blob.
At first I thought maybe it was for handling gigantic JSON blobs that you don't want to entirely load into memory, but the API looks like it still loads the whole thing into memory.
So I'd definitely count strings as "unbounded" as well.