I'm not siding with GP, and I've little to no knowledge of either China or Taiwan, but to say that culture is Confucius, food and decorations doesn't sound right. That's just tradition, culture is more fundamental, in my mind.
If anything tradition is what the CCP succeeded in suppressing during the cultural revolution, not culture. As you said, culture is deeply fundamental and cannot be eliminated in a top-down manner nor in a period of only 10 years.