Bundling the JRE in the bundle typically results in something that is not redistributable with the default OpenJDK license: The Java ecosystem is heavily tilted towards the Apache license, but Hotspot is licensed under the GPL v2 only (no classpath exception). The Apache license and older GPL versions (before 3) are generally assumed to be incompatible.
Every modern openjdk build is licensed as GPLv2 + classpath exception. That exception includes hotspot, since it's part of the jvm. That exemption allows shipping the JVM with your app or linking to it. Otherwise a bunch of enterprise software couldn't exist.