I've always thought of that question as being more about the nature of identity itself.
If you lost your memories, would you still be the same being? If you compare a brain at two different points in time, is their 'identity' a continuum, or is it the type of quantity where there is a single agreed definition of "same" versus "not the same"?
See: 157. Similarity Clusters 158. Typicality and Asymmetrical Similarity 159. The Cluster Structure of Thingspace
Though I agree that the answer to a question that's most fundamentally true (or of interest to a philosopher), isn't necessarily going to be the answer that is most helpful in all circumstances.
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This is the slippery bit.
People are often fairly bad at deciding whether or not their knowledge is sufficient to completely understand arguments in a technical subject that they are not a professional in. You frequently see this with some opponents of evolution or anthropogenic global climate change, who think they understand slogans such as "water is the biggest greenhouse gas" or "mutation never creates information", and decide to discount the credentials of the scientists who have studied the subjects for years.