Generally speaking, when a corporation wants someone to sign on a deposit account, they provide the bank with a corporate resolution and the person is designated as an authorized signer. There may or may not be a letter of authorization that accompanies the resolutions.
What you seem to have is a rather misguided attempt by corporate officers to designate someone to sign on the account. In most cases (there are always exceptions), this authority to name an authorized signer rests with the directors of corporations, not with the officers. And officers of a corporation can NEVER issue a power of attorney authorizing someone to act in the officer's capacity as an officer.
I suggest asking the company to provide you with proper documentation of the designee's authority.
And no, the paperwork you have would most definitely not apply to the officer's personal accounts. For that sort of power of attorney, you'd get signatures of the individuals without any reference to the corporation or their positions there.
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8