Curious to know how many people responding have experience of both private and state systems, because usually on these threads people's positions are very polarised based on their own limited experiences and choices.
For instance, why the assumption that a good state comp (not a failing one obviously) won't have lunchtime and after school clubs, or engaged staff willing to spend extra time?
My state educated kids were given extracurricular options to do extra languages including Mandarin and BSL, the whole range of musical instruments, lots of tech/engineering type stuff, chess, sports, all the arts type stuff you can imagine, not to mention the highly popular Doctor Who club. And they had teachers who gave extra sessions for the maths olympiad, the Southampton Uni cipher challenge, revision or project-based sessions, or just took time to talk through interesting points that had come up in the lesson or been asked about. Plus lots of stuff I don't know about because my particular kids weren't into it, I expect. And trips. And competitions between schools. And extracurricular weeks when the whole school tried out things that aren't on the regular curriculum.
And what I also found (and was surprised by) was that because facilities or options are often more limited, state schools are usually more closely linked to other schools or organisations in the community to widen the range of what they can offer, whereas private schools are often very insular and protective of what they offer and disparaging about what they don't. And being involved in community-linked activities, particularly local to where you live and where your friends live, is really good for children socially, gives them a sense of belonging and enables them to make friends with local kids in different schools. (Another reason not to commute an hour imo, as friends will all go off indifferent directions at the end of the day.)
I just think sometimes there's a strong imperative to believe that you spent all your money on private education because state schools are all cesspits of mediocrity and deprivation, but many of them really aren't.