The App had more access than they needed or intended, and more than the Android equivalent. However, it did not have the capabilities that were originally reported. The original blog post that started this sh#t-storm stated that the app could things like "Read all your email, Send email as you, Access all your Google drive documents (including deleting them)[...]" none of which was ever true. The blogger further admitted he'd never actually worked with the google permissions or tested this, and was just inferring (read: being a bit of an alarmist) based on a general description from the Google help page.
So yes, the iOS version of the App can do more than it needs to, and that permissions discrepancy has been added to the long list of things that need to be fixed on this still very young and rather buggy game. But No, the App could never do much of what it was being accused of doing.