yes it is a visa issued under Tourist Authority of Thailand. But it most certainly is a long term visa, and part of the benefits is the assistance given to open a bank account with Bangkok Bank or others. Official, and government sponsored arrangements. There are the usual conditions such as proof of residence etc. But they are not going to rescind legitimate accounts for individuals on Elite Visas unless there are specific money laundering or sanctions concerns.
not sure it is correct on Udon Thani. Despite the name as international it is a domestic airport with no through check in, unless things changed very recently.