Our Deposit Operations group also sent out an e-mail to the front line last week. If we receive a stimulus deposit to two individuals and the account is only in one name it will be returned.
Does your bank also return an IRS tax refund ACH with two names when it's aimed at a single owner account? The IRS gives people a lot of flexibility on where they send their ACH refunds. If H and W each have individually-owned accounts, they can have half of the joint refund go to each. The ACH will show both names (because they filed jointly) but the accounts aren't joint. Then the IRS uses one of those accounts to send the EIP ACH. Do you really want to make things difficult for your depositors who might be in desperate need of the funds?
At the end of the day, it is your bank's decision, of course.