In all sincerity, I think the H&A concept refferes to cut proportions and your comment to clarity...
While one might argue that by a different cut the reflection could be avoided, this is not an issue taken into account by the H&A discussion. What you describe is just an unfortunately included H&A
Besides, if the H&A picture shows those reflections, this is no proof that you will to...
Both replies are correct. Remember that most H&A viewers use magnification that varies from 4 - 10 powers on the models that I have seen. When you magnify you can much more easily see the inclusions.