Yeah, it’s really tough to show the accurate color with a picture. In person it doesn’t look egg shell. It’s definitely a shade of white. When not next to a totally white object (ie like the airpods case) it looks like a white back with a light champagne side band. I have it in the Apple clear case and really like it.
After using it over the weekend, the battery life seems good…not an issue for me. The one thing about the phone that truly stands out is the brightens. Coming from the iPhone 11 (600 nit max brightness), I really notice the 800 nit max brightness of the 13 Mini. I had trouble seeing my 11 outdoors in full sun. Not an issue at all with the Mini. A great upgrade for me!!