inheritance model not entirely clear in docs

[visualex]

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.