Although I use Safari exclusively Chrome is a more power browser (MSE & WebM VP9 and WebM VP8 support) I'd expect it to be more a resource hog.
I would delete it completely if I could get Safari to AirPlay Netflix HTML5. My options are using Safari with Adobe Flash, or Chrome with HTML5. Pick your poison, Adobe Flash or Google Chrome.
Here is an example. Safari is more efficient doing the same task as Chrome but only slightly because its utilizing Flash.
Image
Have you tried ClickToPlugin?