The reason for the inconsistency is that some were actually highly realized beings, mainly the first several. They are not all of the same mind stream and the present Dalai Lama has even said so! He admitted he is not the same person as the others, which lines up perfectly with the issue of Reting Lama's corrupted selection of a Muslim boy to be the recognized incarnation of the 13th Dalai Lama, his strong disinclination towards virtue as a child, and his criminal and unBuddhist actions as an adult who delights in non-virtue.
Once again, it is entirely inappropriate and extremely insensitive to continue directly or indirectly referring to his criminal activities as the skillful means of a Holy Being. Please stop this contradictory and shameful behavior.