There is a useful engineering consequence here beyond terminology.

If intermediate tokens are not a faithful representation of the computation, then they are a pretty bad audit artifact too. We probably shouldn't be trying to make the model's internal narration more interpretable., but rather the computation around it more reproducible.

Record the actual inputs, model/version/configuration, tool observations and outputs, then make the execution replayable enough that differences between runs can be isolated.

In other words, don't ask the model to explain what it thought, and instead make the system able to show what actually happened.