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The concept of the Xia is rather abused.
To show how wierd it becomes there are even Xinhua articles announcing Xia dynasty ruins in Mongolia given on a CHF thread recently).
To associate an Erlitou site with a specific Xia 'historical' site is just based on convienience rather than evidence.
It is not a very scientific to try and understand the past since more cities or written records may yet appear, and perhaps another contender for the 'Xia' capital.
It is not evidence the Erlitou is positively the Xia capital, or the only Xia city, or if the history is literal.
To be clear, there are many cultures in China in the late neolithic, and so there are bronze age pre-cursors to the Shang. To leave the Xia as unconfirmed as a literal lineage is not to say that the Shang sprang from nothing.
At present the best that can be done is see Erlitou as a pre-cursor to the Shang.
To make an excavated site fit the written histories of Xia personalities (i.e kings) is just done with wishful thinking unless some icon or writting confirms this.
There is no positive identification beyond looking on a calender and seeing this is an earlier site.
That's not really very convincing.
It is not academically responsible to call a discovered site a 'Xia' city when the relationship to Xia history is not understood.
It is not to say that it couldn't be the people known as Xia (as in the Erlitou site) but that to asign a ruin to a unsubstatiated history is not sound compared to the substantiated records at the Yin ruins of the Shang.
About your idea of the Andes civilisations not being doubted in the same way as the Xia.....you misunderstand.
It is not that civilisations are thought to 'not exist' without a written script but that the records/stories and histories preserved by later cultures concerning their ancestors may be inaccurate.
In the case of the Incas, they borrowed many techniques from people they conquered and then claimed all the credit and made up stories of their own origins that suited themselves.
The Aztecs incorrectly claimed descendency from the Toltecs and attempted to drive back their own civilisations beginnings & grandeur. It is a way of claiming achievements of a culture they admired. Their understanding of where the Toltecs came from and when they dated from is found in modern times to be myth, and not a literal chronology.
All civilisations have ancestors stories......to question them is not to say the ancestors did not exist but to question whether the version handed down from centuries past are accurate.
The Xia in this way should be considered as just as prone to invention or embelishment by people that were born dozens of generations after they vanished.
Untill then the literal truth of the Xia kings remains unproven.