No, the state schools around me are great. I think some people are vocal because they've had a bad experience with a particular state school, but it's also similar to how people who home educate their children talk about schools including private schools as terrible places - if you put time and money into doing something, your need to believe it's worth it, so you are invested in your choice being the best one.
I heard terrible things about state schools when DC1 was a baby, and I was fully prepared to home educate her or to live off DH's salary and spend all my earnings on school fees. But then I went to have a look at my nearest primary school, just so that I could say I'd looked, and it was amazing. The staff were incredibly well qualified, and let their previous careers or outside interest add to their teaching - some worked part time in the school in order to free up time for their own music/art etc. Staff retention was very high. There was a wealth of lunchtime and after-school activities. The parents came from many countries and many backgrounds, from refugees and long term unemployed to senior professionals who had been educated at top public schools and were looking for an alternative for their children. There was a huge sense of community and support and inclusion with lots of opportunities for parents to get involved. SEN support was excellent.
The secondary schools are less nurturing, but are also excellent schools. My children are still in their school years, but the older children of friends have mostly done extremely well, going to top universities in the UK and abroad, playing sport at an elite level etc.
There are areas where I think the schools could improve. I'm not impressed with the language teaching at the DC's schools, but I don't know if that is specific to their school, to state schools or to English schools in general.
Of the local independent schools, there are several I wouldn't touch with a bargepole, a couple that are great schools and a couple that are objectively good but would would be a bad fit for my children. And the same goes for the state schools. For DD, one of the private schools might have given her a slightly better school experience for years 7-11, but the state options were better than the independent ones for early years, primary and sixth form, and the independent school certainly weren't £20,000 a year better than state. DS is the sort of child who would do well anywhere, and is thriving at his comprehensive.
My city does have atypically good state schools, so I'm not experienced in the worst short of state schools, and I absolutely believe that private schools can be the best choice for some families. But I find on Mumsnet that people talk on threads like this about the horrors of state schools, but when I look for threads about which local private schools to choose, they are full of stories of bullying, safeguarding failures, incompetent management and failure to meet the needs of SEND pupils.