When China is supporting lamas to give teaching outside China, and especially in the Western world, it must be resonating in the minds of many westerners that have the tendency to simplify the situation in Tibet as (being an "occupied" territory) and are also inclined to see the DL as a kind of a martyr fighting against a country vaguely identified as an "oppressor".
they will have to re-think that!
The westerners must wonder how and why is it that such "oppressor" is actually founding and supporting lamas that travel the world with a message of peace and tolerance.
With more research, these Westerners will find that the oppressors where those that applied a ban on freedom by ostracizing the practitioners of Dorje Shugden. The oppressors were the CTA!
They will find that the DL speaks of peace, tolerance, fairness, forgiveness AND, at the same time, installs a ban on a large population of his fellow Tibetans.
They will also find that the lamas that the government of China is supporting speak of peace, compassion and fairness and also practice it, even more so, they practice it without mixing politics and religion.
Also, to see China sending lamas abroad can only mean that China IS supporting and protecting the Tibetan culture, I mean, where would they find lamas if the Tibetan culture had vanished from Tibet...
This can only reduce further more the influence of the CTA.
This will also have the result to bring Dharma to a larger audience.