No, they're hugely different. One of them accepts that the state should still be paying for education of children regardless of whether your personally have children -- just with better options than failed public schools. Which is why lectures about how "we should all be paying for kids' education" is very unresponsive. Which is why I said so. And have not yet gotten a substantive reply that addresses the criticism.
I must pay for socialized education regardless if I use the service. I might choose to not use this service because I lack children or I may choose a different provider. But this doesn’t mean I don’t have to pay my taxes if I don’t want to use a gov service.
What makes adults with kids special that they don’t have to pay this tax when they don’t want to use the service?
I'm struggling to think of a single public service that you can get a refund if you don't use it. Even private services like health insurance don't refund you money because you chose a provider outside your network.