No, it is still objective, I probably didn't explain it well enough.
What is normal refers to the context something is placed within, not the action itself. There is no objective truth as to what actions are normal, true. But normalization refers to contexts, and the context is objective, not subjective.
To explain further: let's say we put object X into context Y, which will yield result Z. Z will refer to object X being normal. But object X is completely random. Context Y, on the other hand, is not random, but rather a constant value which will transform object X to "normal". Y is objective.
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