Since Chrome on iOS is mostly safari (as far as the heavy lifting goes), I expect Chrome on iOS is easier on battery than it is on Android.
My meaning was that Safari is heavily optimized for power usage because most people using it are on mobile devices, and the difference is dramatic, at least on macOS where you can compare it.
I wonder how Chrome's traffic compares across mobile, laptop and desktop (I don't think laptops can be detected in browser stats). They certainly seem to focus on maximum performance above all else.