According to http://rehudson.us.oracle.com:8080/hudson/view/JDK8/view/Nightly/view/jigsaw/job/jigsaw-2-build-windows-i586-product/ws/jigsaw/build/windows-i586/moduleinfo/classlist/ the java.util.logging won't be in the core jdk.base module, but will have its own jdk.logging module. The jfxmedia should use the javafx-logging classes for logging. These work even when java.util.logging is not present.
The class which currently uses the java.util.logging directly is:
com.sun.media.jfxmedia.logging.Logger
The class which currently uses the java.util.logging directly is:
com.sun.media.jfxmedia.logging.Logger