Non-resident accounts exist (though they are generally more expensive), and several countries don't even require any proof of residence (i.e. you can open a bank account while on a tourist visa)

I know they exist, but they are not the norm. They even call them 'international bank accounts' in most cases (I think HSBC calls it that, or Barclays). Most common bank accounts will require proof of address in the respective country. I don't think it is expected to specify all that in the app description.