I haven't noticed prompt size having an impact jut I'll test that.
Is it possible that you have a caching system too so that you are able to respond instantly with paragraphs of technical information to some types of requests that you have seen before?
As far as I understand, the earlier GPT generations required a fixed amount of compute per token inferred.
But given the tremendous load on their systems, I wouldn’t be surprised if OpenAI is playing games with running a smaller model when they predict they can get away with it. (Is there evidence for this?)
(DO report this as a bug if so)
Edit: What prompt sizes are we talking about?
Even with small prompts I occasionally get rather slow responses but it becomes unbearable at 2000-3000 characters (the upper limit of custom instructions), at least for me it does.