The symptoms of hate "depends on your position". So called "hate speeches" depends a lot of your position. But they are not hate. Actually, a lot of the things that are censored because they are categorized as hate are just inconvenient for some people, but nowhere near hate. As usual, words are used and distorted to serve agendas.

You can recognize hate across cultures, across symptoms, because as a human being, you learned to detect the clues that hint some hate behind some behavior. It's not perfect, but the thing is hate is rarely subtle, and quite explanatory in its effects.

Hate also always root in unhappiness. And symptoms of happiness are something you can learn to detect as well.

So yes, while you can't have an objective way to measure hate, you can approximate the way human evaluate it by measuring the context of happiness and assess symptoms, on a global + local scale. I may very well give you a good picture of hate.