"The transmission of culture between peoples should be based on a mutual interest in sharing and learning, not some sense of global entitlement."
If something in your culture benefits me, why does my use of it have to be dependent on that also benefiting you? Indeed if its a loss for a small people group but a benefit globally then surely that's a positive thing.
Would you for example argue lack of distinctiveness as a negative thing, in which case you could be blocking all sharing by demanding "mutual interest".
Though I'm interested if you can give specifics, like tell us what culture you identify with primarily and what aspects of that culture you want to keep for only people you identify as 'in' (belonging, if you will).
Maybe expand and show what you're foregoing from other cultures, like if you're not Chinese so avoid cultivated rice, or whatever.
Assuming you're USAmerican, USA has "appropriated" the scientific culture of Russia by also going to space; appropriated the beer making culture of Europe; appropriated the Television/Computer culture of Britain; the number system born from Indian/Persian culture; appropriated the high-fashion culture of Paris/Milan/etc. in some of it's cities; appropriated the food culture of Mexico/Germany/Italy/wherever; appropriated the traditional medicines that gave rise to drugs like aspirin; et cetera.
Why do you want to stop positive advancements from being adopted by everyone, is it just greed? Why do you care what culture the music someone else listens to was born from.
Of course you should be allowed to not adopt other's culture if that's your choice, only use anything you've created from scratch yourself (tool use I think arose out of E. African culture, better avoid that) - otherwise you're appropriating somebody's culture in some way.