You're not missing anything. These are unusual times. From 1971 until perhaps 2008, thirty-seven years, money market funds made noticeably more than bank savings accounts--and that definitely includes banks' so-called "money market deposit accounts."
Then things changed. The books are indeed out of date.
Good FDIC-insured bank accounts of various kinds pay in the ballpark of 1% more than money market funds. Simple as that.
The reason why money market funds stay in business currently, beside convenience and laziness and bundling (automatically getting one as a brokerage sweep account) is that FDIC insurance is limited to $250,000 (per "account ownership" per bank). This is one case where the little guy has access to an investment that is effectively useless to the big guys. It isn't practical for those who need to hold much more than $250,000 in near-cash to do it in FDIC-insured bank accounts, so money market accounts are one of the alternatives.
Annual income twenty pounds, annual expenditure nineteen nineteen and six, result happiness; Annual income twenty pounds, annual expenditure twenty pounds ought and six, result misery.