Earlier quoted context omitted.
I wouldn't say primary plot of Ender's Game. I'd say it was a higher focus in Speaker for the Dead. Still, the device is used in a lot of Sci-Fis. Card wasn't even the first to use the term Ansible, though he did use that exact word.
It was most definitely one of if not the most central plot point of the series. Not sure how far you got, but the entire series including the prequels is worth a read imho.
1. The original topic was about Ender's Game only, not the entire series, so you basically shifted the goalposts. 2. More importantly, I think you are using the wrong literary terminology and you and the others are talking over each other. Where you say "plot point" I believe you meant "plot device."
The Ansible is definitely the primary plot device that makes so much of the story and how it flows possible, but the ansible is not the point of the plot itself.
Throughout Ender's Game the plot point is reinforced that the rules of civilization will be broken when a credible threat shows itself. That is shown with the various physical conflicts Ender has with the other children at the individual level, it is shown with the tolerance the military has in order to shape Ender at the organizational level, and it is shown with the vilification of Ender so society at large does not have to grapple with just how badly it broke its own rules - so it can be done again if necessary for survival.