If you have any specific quotes or references in future please feel free to bring them here. I am always happy to explore alternative views, if they are genuine, credible and backed by Buddhist canon.
Here is a description of Dzogchen:
"Dzogchen (rdzogs chen), or “Total Perfection” or “Total Completeness”, is a Teaching which reveals the original state of every individual, a condition which is presented as “perfect” because of its infinite potentiality to manifest in the variety of all phenomena of existence. Once directly awakened by the master, this perfection is experienced as one‟s innermost nature, the Nature of Mind. Continuous awareness of this nature, then, is the fundamental practice that leads to the unveiling or manifestation of one‟s primordial potentiality..
The Mind‟s Essential Nature is said in the Dzogchen Teachings to be like the nature of a mirror. A mirror‟s essential nature is clear, pure, and limpid; if this was not the case no reflections could arise in it. In the same way the mind's natural condition is one of clarity, purity and limpidity. A mirror will reflect whatever is placed in front of it, but the nature of the mirror is not stained by any reflection, no matter how ugly or terrible. In the same way, if an individual remains continually present in the contemplative state that is the inherent nature of the mind, no thought however beautiful or ugly, attractive or repulsive, can stain the mind‟s fundamental purity, or distract or disturb the practitioner, who remains integrated in a state beyond the limits of the ego and the judging mind, experiencing the world as the play of his or her own energies. This is the effortless state of “Dzogchen”, the “Great Perfection”, complete in itself, and lacking nothing."
These are accurate statements for example, and it is also the same premise and result of all genuine Buddhist practices but of course Dzogchen has its own context and methods, which are very respected.
Kaliguya is the Dharma ending age, it is when times are tougher for the Dharma to birth, take hold perhaps but it is nevertheless just an age in a cycle which is merely that of change, origination, cessation and the like. Some practices might be more relevant and essential for the context if the teacher deems to make it so, but that is their prerogative and means. If they wish to highlight it more, that is also OK - every tradition uses different tools.
The quotes above though on the teaching/method/result are ultimately not different from many other traditions actually, so to say Kaliyuga is the whole reason for the existence and teaching of Dzogchen seems, quite frankly, unreliable to say the least as what Dzogchen is teaching is Buddhism.
Here is an actual quote from the Rinpoche, and I do hope for his success very much:
"All the teachers of Dzogchen from Garab Dorje to the present day have preserved the traditions of the Transmission in a very pure way, and I feel that it is very, very important that we continue in the same way. I have always been very concerned with ensuring that the transmission of the Dzogchen teachings is maintained correctly. To teach the Dzogchen teachings means to give Transmission of Dzogchen. If I teach to people who do not keep the Transmission in a pure way, but who instead create problems with the transmission, that is very negative for me personally as well as for the person who distorts the transmission, because I am the one who taught them and I have thus entered into a relationship with them based on Transmission. If I am not sure of the situation in relation to how people will be respond to my trust in teaching them, it is much better that I keep quiet. That was the idea that was behind my not teaching. But then, at the same time, I know that some people are capable of keeping the Transmission in a pure way. If I were to keep quiet I would hinder those people who are really ready to work in a genuine manner with the teachings. That is why I now teach.”
-- Chögyal Namkhai Norbu Rinpoche