These are orders of magnitude different. Maybe they are using different definition or sub-regions.
>The arrival of European diseases after Columbus crossed the Atlantic in 1492 may also have hastened the growth of forests by killing indigenous people farming the region, the scientists wrote in the U.S. journal Proceedings of the National Academy of Sciences (PNAS).
It would be very lucky for humans to be so devastating[1] to the natural environment everywhere except the Amazon and yet have been excellent stewards of the natural environment within the Amazon. Such assumptions smack of the "noble savage" mythology.
1: https://en.wikipedia.org/wiki/Quaternary_extinction_event
Not sure how that's relevant to the sentence you quoted though. The Amazon rainforest has been largely savanna type ecosystems at various points in its history. Including quite recently (like 12kya)
Google says the Amazon rainforest is 10 million years old.