Increasing third-party billing for non-service related injuries by 10 percent, suggested Agg, would free up more money to help service-related injuries.

CNN: Veterans groups irate at Obama's private insurance proposal

But Gorman said that the issue of third-party billing is fundamental to the VA and that it is a "distraction" from discussing the budget increases.

CNN: Veterans groups irate at Obama's private insurance proposal

Even so, the commission and others are pressing wireless carriers to offer consumers the option to block third-party billing as a way to prevent cramming charges.

NPR: Feds Get Closer Look At Fake Mobile Bill Charges

The agreement with the OCC also addresses certain billing practices relating to Credit Monitoring products administered by third-party vendors, Capital One said.

FORBES: What's In Your Wallet? If It's a Capital One Card, You May Be Due a Refund

In this type of agreement, the third party institution can issue branded cards and is responsible for design of product features, customer service, billing and credit and authorization of transactions.

FORBES: Quick Take