Batteries are rightly not warranted by any seller of any thing, unless the batteries are new and you pay a new price. In line with both your obligation (for your own sake) and the universal warning of caveat emptor in any sale, whether that be in person, on line, by tender or from beyond the grave, it was your business to know that a battery of that age was almost certain to be wonkus.
You could luck out by resetting the Power Management Unit, or make sure of the matter by recelling. Even before the seller's offer, however, you had come out of the sale well ahead.
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