So, having tried Amex Chat again (tonight), the additional information provided for Wire Transfer is:
Recipient Name: American Express TRS TMS Depository
Recipient Address: P.O. Box 650448, Dallas, TX 75265-0448
Edit: Some may find this information to be useful. However, my guess is that there are probably numerous addresses that could be used for Amex, and probably numerous Recipient Names, as well.
I should add that it was like pulling teeth to get Chat to provide the Recipient details for some reason. Took three phone calls in the end.
