Just how would it be different than you having credit cards?
Customs would argue you can't use a credit card anonymously.
Most if not all countries only care about how much fiat you are carrying, not how much money you have access to. eg, in the US you are only required to declare it if you are carrying over $10k in cash.
It's not only cash, if the value is for instance in gold you'll still need to declare it.