Well....I suppose it is some form of “choice”. There is the choice of being under police threat to use the government schools, or being under police threat to ransom a child by paying jizya in the form of private tuition or homeschool expenses. Some “choice”!
But...As I pointed out private institutional schooling ( even if one is willing to pay the jizya or ransom) does not exist. The price-fixing practices of the the compulsory government education cartel has driven them out of business.
You forgot to add the important point - where YOU live.
Sorry, but your personal situation is just that, your personal situation. You tend to forget that not everyone lives in the same educational hellhole (in your mind) as you do.