@Interceptors defined on @Service EJBs do not have @PostConstruct @PreDestroy interceptor methods invoked

I've defined an injection-style interceptor class that needs to be called before a @Service EJBs start() method is invoked on service startup. Using @PostConstruct doesn't not work (the container never calls my @PostConstruct annotated method). @AroundInvoke only works for methods defined on the @Local or @Remote business interface, not the @Management interface.

Shouldn't @PostConstruct and @PreDestroy be invoked on @Service EJBs? I need my interceptor to behave like the standard injection interceptors do.