There's a very important distinction between computation your brain can do, and computation you can describe in words and communicate to other brains that then do operations that follow the same rules. With the former, the only way to verify, reproduce, or modify the thinking is to go to the brain that had that thought and think it again. With the latter, you can look at the verbal descriptions and can largely ignore which brain is thinking the thoughts.

That's the fundamental distinction. It's not that the thinking is more or less computational. It's that the thinking can be put down in words as a computation without great loss in fidelity.