I guess the more initiations you give publicly without any foundational teachings is gathering of students to be on your camp. Since this Karmapa is not the one chosen by the HHDL, Tibetan Govt and majority of the people, he'll have to work very hard to get as much people as he can to be his students by random and massive initiations. To have many supporters will 'validate' his throne taken from the authentic Karmapa.
I know this sounds harsh but isn't this what it's about?
His Holiness gives initiations but he has given foundational, scriptural, textual teachings in all the great monasteries of all sects, in many countries and to hundreds of thousands for the last 50 years. I think he has prepared those who wish to be prepared for higher initiations for decades.
My opinion is there cannot be two Karmapas. There can be hundreds of emanations of Karmapa but only one can hold his name title "Karmapa".
You can't have two or three persons holding the names of all the lamas can you? I mean two Panchen Lamas, two Dalai Lamas, two Samdong Rinpoches, two Dilgo Kyentze Rinpoches, two Trijang Rinpoches and so on. It will become very confusing.
Only one person should hold the title of Karmapa. Not two.