Thanks for the clarification, marite.
I'll give people 2 very logical reasons for such "school choice." One is by parents appalled by the decadence in the American culture, evident even on the elem. level (some of them are various religions, some not, & don't be so sure you know which religions, btw; many of the most recent homeschoolers are Middle Eastern Muslims recently immigrated: the materalism & sexualized atmosphere in schools is opposed to their value system.
A second logical choice is a reaction to dominant immigrant populations in the public schools, where that exists. When the teacher is teaching to a 99% ELL class -- & going therefore at 1/4 the pace, or worse, you're learning zero if you're the 1%.
In the above situations, homeschooling with public funds is sometimes the most logical choice.