This happened to me a decade ago (not in the US), and I was surprised to find that every bank in the country had similar provisions in place. I'd be surprised if yours doesn't too.
In the country I live in (Brazil) the arbitration clause would go against the Consumer Law that says:
"Are null or void, Contractual clauses relating to the supply of products and services that [...] imply a waiver or provision of rights."
Access to justice being a right, arbitration clauses that forbid the consumer to go to the judiciary system are not valid. They can offer it, but not force it.
"Are null or void, Contractual clauses relating to the supply of products and services that [...] imply a waiver or provision of rights."
Access to justice being a right, arbitration clauses that forbid the consumer to go to the judiciary system are not valid. They can offer it, but not force it.