Makes sense! My response, as a historian, was more about the limits of historical knowledge than about this situation. The earliest complete manuscript of Thucydides "Peloponnesian War" is from the 10th Century AD, over 1300 years after the original. So accepting that we have access to what he wrote, involves an act of faith--and there is pretty good reason to believe that the record is largely correct.
In this case, the record sounds very reliable.
Again, thank you very much for the update. I will replace the original passage in my file.