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Not true

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Technically not true. Though the data is stored by just rearranging the mass already present inside, as devices are used and data is added, changed, overwritten, and deleted, the device wears out and minute amounts of material erode off, or new atoms are attracted by electromagnetic fields and stick to it. If we could get an atomic weight of the device, it would change weight as we used it, and just by chance, different amounts of data would be present at different weights. The data itself is not adding mass. But any change in data will contribute to physical changes in the mass.

You are wrong: if your scale is adequately precise, there is a measurable difference.

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