The flip side of this is the requirement, within a monoculture, that you need to do something in a certain way because that is the way that it is done, even when there are other valid options, different techniques and preparations, different tastes and preferences. Many have been stifled by "cultural norms" when they were doing no harm but simply following a different path than their elders. The ability to browse the knowledge of the world and explore the many different ways we cook, speak and live is in no way a bad thing for humanity.
As long as humans interact with each other, there will be culture. It cannot die unless humans also die.
The question isn't "is culture dying", it's "is culture changing". The answer to that is, as always, "yes". Culture is constantly changing.
I agree with your comment, but at some point the current definition of culture is lost when individualism is the prevailing norm. At least in the U.S., it feels as though we are at that point. It's quite different in that way since the cultural revolution of 60's and 70's, in my opinion. And the latest generation feels this, it seems, and has much less interest in getting together for shared experiences.