Nope, it specifically covers "preaching of intolerance", that's not "just someone's speech you dont like". Lets say I speak about gardening without pesticides,

Nope, it specifically covers "preaching of intolerance", that's not "just someone's speech you dont like". Lets say I speak about gardening without pesticides, and someone with a pesticide factory does not like that speech. How do you think the "the paradox of tolerance" can be used to shut me up in this case? You can't. Case closed.