(RHEL) Use JRE Other Than Default

I have SEP working on a RHEL7 machine without any real issues. The problem I'm having is that we might need to install a different JRE on the machine depending on what the server does (for instance, if it's a tomcat installation). If I'm using the Oracle JRE everything works perfectly fine but if I install (for example) openjdk 1.6 (without touching the Sun JRE) then live update begins to fail:

I've checked /etc/Symantec.conf and JAVA_HOME is still set to the root of the Sun JRE:

So I don't know why it's still failing or what I can do to avoid the dependency on the system's default JRE. Any guidance I can get would be appreciated.