That is understood, however he is essentially incorrect in saying that you do not need to file tax, by which I assume Chantelle Burt means filing a tax return, as you are obligated to declare all foreign and domestic income including pensions that is remitted into Thailand.
The only way to do this is via a Tax Return. Which portion, if any, of that money is considered assessable income and how much tax you may have to pay based on your eligible deductions DTA etc is a different kettle of fish
Interesting but not sure if this would be a Thai account. I suspect it would still be an American account held by a Thai bank located and registered in America. Did you talk to them by any chance to ask about this