Earlier quoted context omitted.
That's not the only reason. More tokens = more useful compute towards making a prediction. A query with more tokens before the question is literally giving the LLM more "thinking time"
It correlates but the intuition is a bit misleading. What's actually happening is that by asking a model to generate more tokens, it increases the amount of information it has learnt to be present in its context block. It's why "RAG" techniques work, the models learn during training to make use of information in context. At the core of self-attention is dot product measurement which causes the model to act like a sea…
I'm not saying this isn't part of it but even if it's just dummy tokens without any new information, it works.