The password is what secures the more valuable things inside the account (the money). In fact, in nearly every case a password is used, no one really cares much about the password itself, but what's inside. That's why services require password in the first place.
EDIT: Also, don't be so sure that passwords are not useful. If you can compromise a password in one service, there is a significant chance that the user in question is re-using the same password on other (or all?) services. If your password is "joe123" on somewebsite.com, if I can crack that, I can try to use that information to guess your login on somebank.com, somedoctor.com and somegovernmentservice.gov. The more things become "cloud"-based, the higher the value of cracking a password.
I think the bigger consideration is actually how to exfiltrate money from an account that you compromise: If you initiate a wire transfer to some account you control, that leaves a paper trail, and typically has a lag time, during which the institution/customer have a chance to react. This is also why scam centers in India ask you to send them cash equivalents: gift card codes they can redeem/resell.