I think there are "shitty" schools, and then there are _shitty_ schools.
A "shitty" public school is probably generally underfunded, but at least has the decent-enough quality of teachers/parents to lead the motivated kids to the right information. That way those kids can go on in their own time and study enough to make it to professional jobs in the real world, although most of these kids will never make it to top-tier colleges due to optics of their schools.
A _shitty_ public school lacks even generally-caring teachers, and often suffers net-negative because of the parents. Kids in these schools grow up ignorant of what to learn, much less how to learn it.
A "shitty" public school is probably generally underfunded, but at least has the decent-enough quality of teachers/parents to lead the motivated kids to the right information. That way those kids can go on in their own time and study enough to make it to professional jobs in the real world, although most of these kids will never make it to top-tier colleges due to optics of their schools.
A _shitty_ public school lacks even generally-caring teachers, and often suffers net-negative because of the parents. Kids in these schools grow up ignorant of what to learn, much less how to learn it.