Why is DirectMethodHandle$Holder not a member class of DirectMethodHandle, according to reflection?

Consider the DirectMethodHandle$Holder class. (It is one of the classes returned by Class.forName("java.lang.invoke.DirectMethodHandle").getDeclaredClasses(), which is documented to return member classes.)

The following assertion fails under JDK 19:

assert Class.forName("java.lang.invoke.DirectMethodHandle$Holder").isMemberClass();

Why? Which rule of section 8.5 does it violate?

Like some of the commenters, I am coming to the conclusion that this is a very weird bug. For example, using some javax.annotation.processing and some javax.lang.model.* classes, the following assertion does not fail:

assert NestingKind.MEMBER == ((TypeElement)processingEnvironment.getElementUtils().getTypeElement("java.lang.invoke.DirectMethodHandle.Holder")).getNestingKind();

So the outputs of the mechanisms underpinning the compiler do not agree with the outputs of the reflection machinery. I've filed a bug against the JDK.