First, if your initial account opening disclosure contains the verbiage for an ATM/POS/Debit card (Reg E disclosure), there is no requirement to give them another disclosure when they request the card subsequent to the opening of the account.
Second, I agree that there is no signature requirement for the "application" for an access device. However, we use a canned form from DepositPro that we send to our operations group to enter the card data on the system and order the card. It has a signature line, indicating that the customer has ordered the card and agrees to abide by the Reg E disclosures already provided to them. It may not be necessary, but it's helpful to substantiate that the customer did request the card.
I hear and I forget. I see and I remember. I do and I understand.--Confucius