Doesn't the fact that it is a bank initiated charge make any difference?
Reg D:
(d)(2) The term savings deposit also means: A deposit or account, such as an account commonly known as a passbook savings account, a statement savings account, or as a money market deposit account (MMDA), that otherwise meets the requirements of Sec. 204.2(d)(1) and from which, under the terms of the deposit contract or by practice of the depository institution, the depositor is permitted or authorized to make no more than six transfers and withdrawals, or a combination of such transfers and withdrawals, per calendar month or statement cycle (or similar period) of at least four weeks, to another account (including a transaction account) of the depositor at the same institution or to a third party by means of a preauthorized or automatic transfer, or telephonic (including data transmission) agreement, order or instruction, and no more than three of the six such transfers may be made by check, draft, debit card, or similar order made by the depositor and payable to third parties.
It looks to me that the depositor has to initiate the transfer or debit for it to be counted.