Moving to a different culture and adapting to it is a great way of shaking up your brain.
Moving between very different cultures is a challenge, but the rewards are accordingly nicer, but it really sucks when the new culture doesn’t welcome and integrate you into it.
It is difficult for a culture to find a good balance between openness and conservation.
Some mixing is unavoidable. For instance, here in Ireland, an increasing number of Irish natives are aware of a Brazilian delicacy called "pão de queijo", thanks to the massive number of Brazilian residents. The way student visas work here is that they allow part-time work, and lots of Brazilians go for food services, bringing some of our recipes with them.
Between Hungary and Turkey, something similar happened with the pogacza. I brough some cheese pogacza to the office and a Turkish colleague immediately recognized what it was. We couldn't really figure out which culture it comes from, but we agree it's delicious and dangerously addictive.