"The Chinese were probably influenced less by the example of the United States itself than by U.S.-backed examples closer to home, such as Japan, South Korea, and--although they would not admit it--Taiwan."
Yes. The startling fact near the end of the 1970s is that the economic gap between China and Taiwan had become so large (because Taiwan was prospering while China was stagnating) that Taiwan's overall economic strength was becoming almost as great as that of all of China, even though China has SIXTY times the population. That much economic strength attracts the attention of a dissatisfied population in a poorer nearby country. ("Democracy Wall" writers in this transition period referred to the example of Taiwan as a basis for criticizing the Communist Party regime in China.) And that much economic strength provides more military options even to a country that is heavily outnumbered. (Meanwhile, China's army was humiliated during its brief incursion into Vietnam in 1979.)
http://en.wikipedia.org/wiki/Sino-Vietnamese_War
So China had no choice but to loosen economic regulation and tacitly reject orthodox Marxist-Leninist-Stalinist-Maoist doctrine to catch up to Taiwan. And, yes, Korea's south prospering while the north stagnated was also a cautionary example to the rulers of China.