Can't see annotations via reflection despite RetentionPolicy being RUNTIME

I'm trying to find methods in a Spring RestController that are annotated with a given annotation. In order to see what annotations exist on methods for that RestController, I've done the following:

Map<String, Object> beans = appContext.getBeansWithAnnotation(RestController.class);
for (Map.Entry<String, Object> entry : beans.entrySet()) {
    Method[] allMethods = entry.getValue().getClass().getDeclaredMethods();
    for(Method method : allMethods) {
        LOG.debug("Method: " + method.getName());
        Annotation[] annotations = method.getDeclaredAnnotations();
        for(Annotation annotation : annotations) {
            LOG.debug("Annotation: " + annotation);
        }
    }
}

The problem is that I'm not seeing any annotations at all, despite the fact that I know I have at least one that is annotated with @Retention(RetentionPolicy.RUNTIME). Any ideas? Is CGLIB a factor here? (Being a Controller, the methods in question are bieing proxied using CGBLIB).