Each of those places has a very different culture.

Buddhism is not a monolithic entity. It took on vastly different forms in each of the places it landed. Chinese Buddhism and Tibetan Buddhism have different scriptures, different approaches to bodhisattvas, different paths to awakening.

Was it disrespectful of the Chinese to take Buddhist teachings when they arrived and transform them to fit their cultural context? Should we go eliminate Buddhism from China because it's not native there and they twisted it to fit their culture?