Sorry but you clearly overstated US strength in the 70's. The 70's can be characterized as American strategic retreat and Soviet strategic expansion, marked by US withdrew from Vietnam, Nixon visiting China and Soviet invading Afghanistan. This is written in Chinese textbook and to say Mao accepted US primacy is absurd, 'caused it didn't exist at that time.Longmarch, I get the sense you think China accepted US primacy in Asia was a dick size contest, and I'd like to put that to rest, because it wasn't. Both countries acted in their own best interests, and both sides benefited.
The Shanghai Communique of 1972 spelled out where US and China agreed and disagreed. US continued its "one China" policy but with Beijing as government of China, and not Taipei, so Mao and Zhou negotiated a good deal for the PRC. No one disputes that. In return, China accepted US leadership and Bretton Woods rules in Asia and received all sorts of economic and military aid for the act. Those are the facts, and they're extremely well documented.
Do some independent research in the World Wide Web on American primacy in Asia and see what you could find. Keep in mind China accepting US primacy wasn't a bad thing and wasn't a put down of China, as both sides gained from the arrangement.
The fact is, China sees the relationship among China, US and USSR as the "great triangle", every Chinese living through 70s and 80s knows this. Even though China worked with US to counter USSR, it's never the intention to see it dissolve. China knows how to play triangle, so by 1989 relationship between USSR and China has been fully nomalized, but few anticipated how fast the Soviets went South.
What happened after was that the collapse of soviet enboldens US and a series of incidents occurred:
Yinhe incident in 1993
Taiwan strait crisis in 1996
US bombing Chinese embassy in 1999
Airplane collision in 2001
And then came Sep. 11th, then the great recession, which turned US attention away and bought China more time. When US came back with Pivotal to Asia, it's already different game.
Now, you could argue that after Tiananmen Square, Deng's strategy of "keeping a low profile and never take the lead" can be seen as acceptence of US primacy, but what really made US enjoy this status was the collapse of soviet union, which is not even mentioned in you narrative. To trace it back to Mao is just too far a strech.
What's ironic is that, with Deng's appeasement stretegy, it only invites more pressure from US, and by early 2000, it's already clear that either China build up its defence, or be seen as America's enemy and encircled. When China starts to ratchet up its military machine, the collapse of USSR turned out to be a disguised blessing.