Inaccurate, in the long run.
Once contact was made between the two "worlds," it was all over but the shouting for the civilizations of America.
This is because the Aztecs and Incas were defeated primarily by germs, not Spanish arms.
The results for the original Americans would have been much the same had contact first been made by Aztecs sailing up the Thames.
You are correct in that the conquest, as it occurred and when it occurred, was much more a result of Cortez organizing native opposition to the Aztecs that it was of Spanish valor.
Agreed. The Spaniards would have ultimately conquered Central and South America but Cortez’s success depended on the rebelling Mexican tribes to defeat the Aztecs so soon after first contact.