Your point is falling flat because you don't understand the definition of the term you're talking about.

"hate speech" isn't just speech which communicates the speaker's hatred of something.

"hate speech" is "public speech that expresses hate or encourages violence towards a person or group based on something such as race, religion, sex, or sexual orientation".[1]

[1]https://dictionary.cambridge.org/dictionary/english/hate-spe...