It's reasonable to question it, but there's a fun Chinese paper (https://arxiv.org/abs/2507.15855 https://arxiv.org/abs/2507.15855) where they attempt to create

It's reasonable to question it, but there's a fun Chinese paper (https://arxiv.org/abs/2507.15855 https://arxiv.org/abs/2507.15855) where they attempt to create a system of prompts that can be used with commercial LLMs to solve hard maths problems. It turns out that they can use the same prompt system for all of them, with no changes and still solve 5/6 IMO problems. I think this is possibly iffy, since people might have updated the models etc., but it's pretty obvious that this kind of thing is how OpenAI are doing their multi-stage thinking thing for maths internally. Consequently if prompt systems are this transferable for these hard problems, why wouldn't both they and individual prompts, be highly transferable in general?