The problem seems to be that many people confuse voluntary communal living in a relatively small group, closely tied by religious or family bonds, with 'barrel of the gun' Marxism, where entire classes of people are exterminated among a large, ethnically diverse population. The survivors then become slaves to the State.
Marx described his philosophy as "Hegelianism turned on its head". To the extent that Hegel incorporated Christian ethics, Marxism is also "Christianity turned on its head."
Charity loses its meaning, and man is robbed of his duty as a moral agent when the State does the giving (and the taking!) away from the individual. And of course, the great 'inequality' of wealth the Dali Lama speaks about is due to capitalistic societies outstripping third world societies tied to feudalism, cronyism and exploitation, not to mention low expectations for the individual.
A college Professor of mine long ago quoted a scholar as saying, "Marxism has been writing blank checks on the moral bank account of Christianity for 100 years".
I don’t think the Dalai Lama is a student of any of that. When people ask him a question he will answer it. Not much he would decline to give his opinion on. Naturally, it seems, most of the press are idiots and ask him stupid questions that are completely irrelevant to his life or his interests.