The arene protons, it "could" potentially be equivalent if it's exactly symmetrical but it's not. If they were exactly symmetrical, you'd have a different problem, cis/trans lactone rings.
They're not equivalent in this case because on one side, one of the oxygens on the lactone ring is connected to the aromatic ring directly, but that's not the case in the other lactone ring, which you pointed out.
I think what was meant earlier (I might be wrong) but the protons on the aromatic ring aren't exactly equidistant nor equivalent to each other. But the two protons on the CH2 on the lactone rings are generally equivalent, but it is not equivalent to the CH2 on the other end of the molecule.