That's certainly possible, but it reminds me a bit of a similar thing I've seen in their UI that rhymes in a way that makes me think otherwise. In the code interpreter tool, you have a little preview of the "steps" it's following as it writes code. This turns out to just be the contents of the last written/streamed comment line. It's a neat UI idea I think - pretty simple and works well. I wouldn't be surprised if that's what's going on with o1 too - the thought process is structured in some way, and they take the headings or section names and just display that.
