You are responding to the wrong person.
And also mischaracterizing the state of things. Some HOAs say you must have a lawn, not a garden, in your front (or street-facing) yard. They do not prohibit you from growing carrots in your back yard. They do prohibit other things.
I'm not a fan of HOAs. But HOAs are voluntary communities. You sign the contract, you are bound by the terms. That's true in your country too.
And as for American Freedom.. It's just part of the exceptionalism mythology. Just like the One True God, or the World Champions of Sport, or what have you. Intelligent people have a more nuanced view. Unintelligent people are more common, alas. And so the world turns...