I found a useful thread (in the QUICKEN CLASSIC FOR WINDOWS forum, but that likely doesn't matter)— however that thread is closed.
The following from that thread makes sense to me (my emphasis):
"In the case of a deposit, you are the payee, but the payor is what is recorded because you own the account so that isn't the important part for the transaction, the payor is in this case." (-forum user Chris_QPW)
With that logic, the name of a bank that I received an interest deport from, or a person who wrote me a check, is entered in the PAYEE field.
However, when I looked in help (a link from my Quicken app): info.quicken.com/mac/ I see this:
"Payee (default)
Shows the name of the person or business paid or receiving the deposit."
My interpretation is this is for when I pay a person or business (that is obvious), but if I get paid interest by a bank, or someone writes me a check, entering the name of the person or business that paid me in the Payee field (of a deposit transaction) is not discussed. PAYEE should be the person or business paying me, correct?
The user in the thread I mentioned also postulates an explanation of the PAYEE terminology use, and it sounds reasonable to me: "They had to pick one term, and they picked payee, they maybe should have picked something more generic, because never payee or payor is going to be correct for all transactions. Between Payee and Payor, Payee is the better choice because you have more transactions where you pay people in most accounts, than they pay you (as long as you aren't a business)."