You could have also said the same thing about "Buddhist monasteries in China" when they first appeared there 2000+ years ago, or about the "Buddhist monasteries

You could have also said the same thing about "Buddhist monasteries in China" when they first appeared there 2000+ years ago, or about the "Buddhist monasteries in Tibet" when that happened. Same with Japan and even Sri Lanka. Buddhism owes its continued existence to the fact that similar opinions were never taken too seriously.