inheritance model not entirely clear in docs

From manual page: https://php.net/language.oop5.inheritance

regarding the section:

Private methods of a parent class are not accessible to a child class. As a result, child classes may reimplement a private method themselves without regard for normal inheritance rules.

I would like to improve the documentation by adding the following example:

class Bar {
    private function one() {
        echo "Bar::one()\n";
    }
    public function run() {
        echo "Bar::run()\n";
        $this->one();
    }
}
class Foo extends Bar {
    private function one() {
        echo "Foo::one()\n";
    }
}
(new Foo())->run();

the output is

Bar::run()
Bar::one()

Which is not really what I would expect to happen since I'm calling Foo, which inherits ::run() and I expected run() to happen within Foo and not Bar. So I presume this is a feature, but how do I extend Bar without modifying it (let's say I cannot) and override ::one() ?

The solution I can see so far is that both need to be public.

Thank you.

Start with the inheritance section of the PHP manual page linked in the issue and review the proposed Bar/Foo example and its output. Update the explanation so the behavior of private methods and the example are clear, and ensure the documented result matches the example.