There is no such exemption in the definition of a new account.
Official Interpretation
B. 229.13(a) New Accounts
1. Definition of New Account.
a. The EFA Act provides an exception to the availability schedule for new accounts. An account is defined as a new account during the first 30 calendar days after the account is opened. An account is opened when the first deposit is made to the account. An account is not considered a new account, however, if each customer on the account has a transaction account relationship with the depositary bank, including a dormant account, that is at least 30 calendar days old or if each customer has had an established transaction account with the depositary bank within the 30 calendar days prior to opening the second account.
b. The following are examples of what constitutes, and does not constitute, a new account:
i. If the customer has an established account with a bank and opens a second account with the bank, the second account is not subject to the new account exception.
ii. If a customer's account were closed and another account opened as a successor to the original account (due, for example, to the theft of checks or a debit card used to access the original account), the successor account is not subject to the new account exception, assuming the previous account relationship is at least 30 days old. Similarly, if a customer closes an established account and opens a separate account within 30 days, the new account is not subject to the new account exception.
iii. If a customer has a savings deposit or other deposit that is not an account (as that term is defined in ยง229.2(a)) at the bank, and opens an account, the account is subject to the new account exception.
iv. If a person that is authorized to sign on a corporate account (but has no other relationship with the bank) opens a personal account, the personal account is subject to the new account exception.
v. If a customer has an established joint account at a bank, and subsequently opens an individual account with that bank, the individual account is not subject to the new account exception.
vi. If two customers that each have an established individual account with the bank open a joint account, the joint account is not subject to the new account exception. If one of the customers on the account has no current or recent established account relationship with the bank, however, the joint account is subject to the new account exception, even if the other individual on the account has an established account relationship with the bank.