You keep insisting that they're the same when they're not, and then you try to subtly expand your original claim of "using less memory by hashing" to "to be mor

You keep insisting that they're the same when they're not, and then you try to subtly expand your original claim of "using less memory by hashing" to "to be more memory and compute efficient" (emphasis mine), just to force them into the same bucket. Yes, obviously locality sensitive hashing is a form of hashing. The fact that it's locality sensitive is important for this application, but you'd rather ignore that and insist on labeling them as the same thing just because they're both hashing.