That said, many of these benefits can apply to working parents too if you have the ability to work flexibly.
Dh and I both work full time. One of us does the school run every day. We don't use breakfast club, or any sort of wrap around care. We don't use any family help. One of us is there every day at 3pm and home all afternoon. One, but usually both of us are at every school play, sports days, parents evening, etc. It's no trouble to take off when one of them is ill.
But dh is self employed and I work for a pretty family friendly employer where flexible working is very normal even for those who don't have caring responsibilities. So if you have the right set up, it's possible to have the best of both worlds.