Is there a reason this was done with such a large sampling when you can read the logits one-shot?

I did this for an article, like so:

https://joecooper.me/blog/gptprimer/food.webp https://joecooper.me/blog/gptprimer/math.webp https://joecooper.me/blog/gptprimer/butts.webp

OpenAI removed this interface from their newer models, but IIRC you can still do this against 4.1 and 4o.