We already live in a modern world. I have seen probably more culture from a lot more countries than anyone before us all.
It really takes time and energy to get culture. Culture is not just a few family traditions or a little bit of food.
Besides, i do think culture became much more generic the last 30 years due to how we are now connected. Everyone has coca cola (which is ridiculous), everyone ewars colorful tshirts from adidas and all the other brands we know. We took culture and mangeld it in sending cheap old cloth to other countries, exporting everything and stop embracing local things.
And even if you do, sometimes you see how those local people cook (in which conditions) and than you are happy about the generic imported coca cola because they never heard of hygene.
There was a Youtube Video were someone interviewed people in germany / munich and asked them how living here changed them. And thats very interesting culture wise: They said things which were very german like 'no longer talking to anyone on the street just for fun' or being more on time etc. I bet this cultural trades took much more than just a few weeks to get ingrained.