This is not the case -- it's actually the opposite. The more of these tokens it generates, the more thinking time it gets (very much like humans going "ummm" all the time.) (Loosely speaking) every token generated is an iteration through the model, updating (and refining) the KV cache state and further extending the context.
If you look at how post-training works for logical questions, the preferred answers are front-loaded with "thinking tokens" -- they consistently perform better. So, if the question is "what is 1 + 1?", they're post-trained to prefer "1 + 1 is 2" as opposed to just "2".