As somebody who has his kid in a homeschool co-op, has a family full of public school educators and support staff, and fully supports paying taxes for public schools by everyone, what these people want is nothing short of having your cake and eating it too.

There are lots of opportunities to add social enrichment to a homeschool program, they just cost money since they're not funded by public education money. These people just want the public education system to pay for their child's social enrichment.