Dmytry comments on Can You Prove Two Particles Are Identical? - Less Wrong
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They would interact differently with electric field, but it takes time until there is interaction.
With the electron masses - not sure how you'd go about masses but if you had some label on the electron, which does not interact with anything, and assuming MWI, you would get the statistics as if they are identical. If the label interacts with something, one has to make it interact to make it as if they are distinguishable.