We have a "reality" TV show here called Lost Tribes, where an Australian family gets to spend 10 days with an African tribe, during which time they must learn to live like the "natives" or fail. For some of these people, it is a tremendous culture shock, to the extent that these people's personal "reality" are at odds with certain tribal and social customs. I don't know if you've got it there, but it's interesting to watch these people flounder and sometimes attempting to justify their (inappropriate) behaviour based on their perception of "reality" (i.e. what *should* be) and the reality of the situation they are in.
It is also interesting to see how some people's attitudes and behaviour can change over that time and how cultural immersion can influence such changes.
I think that, irrespective of one's personal beliefs or whether one thinks that the "order of things" has no particular meaning or purpose, the socially and generally accepted thing would be to "do as the Romans do". To do otherwise, would be inappropriate - at least within accepted group norms and dynamics.
However, what you do in your own "house" is your business of course.... if such cultural artifacts have no intrinsic value for you then by all means, discard it. I'm positively certain it would not detract from the technical practice in anyway. As to whether it inculcates in the student following, a sense of respect of something greater than the Self, remains to be seen. My wife seems to think so, but I'm not sure I agree.... yet.