It is a good idea on one hand, on the other you could say that by home schooling you save on:-
uniform, PE kits, Games kits, school shoes, school coats, school bags, every fundraising event, school trip, school dinners, non uniform day, bus money, and the list goes on.
Ds goes to a catholic high school (state). Between September and this July, we would have paid out for:-
2 x school trousers x 3 as he’s grown so much (6 pairs x £25 each = £150), 6 school shirts (£30), school shoes x 2 (£45 & £70), blazer (£45), new tie as he’s upper school (£10), games kit (£56), PE kit (£35), bag (used last years🙏), coat (£70), rugby tour (£2000), non uniform x 3 (£6), lunch money (£20 x weekly), bus money (£15 x weekly), Christmas Hamper (£10), chocolate hamper (£5), biscuit hamper (£5), Christmas trip (£40), then there will be end of year activity week/theme park etc which will be around another £100+, and more fundraising, contributions, non uniforms to come.
And that’s off the top of my head. For one year only. I appreciate that home schooling you will also be paying out for materials, books, outings etc. But you also save on what you don’t pay out.