I have a few funny points also
1. Why does CTA/HHDL quote from 'fallen' lamas that have 'failed' in their practice such as Chakya Rolpa Dorje (banned by the CTA), Lelung Rinpoche (went wayward by encouraging sex and failed to manifest dharma activities for 4 incarnations, as told by Trijang Rinpoche in Music Delighting the Ocean of Protectors), 8th Panchen Lama (whose Dharma activities immediately came to a halt when he decided to drop Dorje Shugden), 100th Ganden Tripa (Being quite an unpopular lama amongst Ganden)? Does he not have any better examples of Gelug Lamas who have succeeded in their spiritual attainments as opposed to those failed?
2. How come HHDL thinks/says reasonings that sound logical on first glance, that sounds logical for those who do not know much about Tibet's history and facts, but on careful examination, they are actually misinterpretations of what is really going on. Example, Chakya Rolpa Dorje was clearly referring to another spirit in his biography, but Dalai Lama says it is Dorje Shugden. Why the cover up and the presentation of distorted facts? Is this a very Buddhist thing to do?
3) HHDL says that Dorje Shugden shortens his life, but why does he keep Samdhong Rinpoche and Ngari Rinpoche close to him? Samdhong Rinpoche is a very close aide of the Dalai Lama and is a known emanation of Dorje Shugden, and Ngari Rinpoche's line of incarnations goes back to Tulku Dragpa Gyaltsen which is Dorje Shugden and he is now the Dalai Lama's brother. So why not get rid of these two people who are literally, Dorje Shugden on earth?
These are the points that stick out to me like a sore thumb.