So, are they the same? No, but they’re cousins who share a hairline. Distilled water is the drama queen; purified water is the practical sibling. If you’re filling a humidifier or an aquarium, use distilled—otherwise, save your money. Your kidneys don’t care about the difference, and your taste buds are lying to you half the time anyway.
Next time you’re in that aisle, just grab whichever bottle has the coolest design. Or better yet, fill a reusable bottle from your tap, run it through a Brita, and whisper, “I am water’s final boss.” Then walk away, leaving the distilled vs. purified debate for the people who own steam irons and existential dread.