The tactic is subversive in nature. Sure you can still opt to send your children to private school, but that doesn’t exempt you from paying your taxes that fund public schools. So now you are faced with paying for public school and private school. Most people cannot afford both so they are forced to “choose” public school. Enough people do that and the private school can’t stay open.

It is an excellent reason there should be no “public” money, a.k.a. taxes. Let people pay for where they wish to send their children.