@Henrik ****
It's got more to do with money laundering and especially Burmese citizens opening ghost accounts for this purpose.
Strictly speaking, I don't think a bank cares what kind of visa you have. They may have their own policies on this, but on the surface that alone isn't a disqualifying factor.
Citizens of some countries, especially Burmese as I've pointed out, are likely to be subject to more stringent scrutiny and may require a work permit in all cases, even while westerners are not.
Americans may be treated with more scrutiny as well due to reporting requirements.