Peabody, I can't really see a difference in your screenshots but something may be lost in the process. I'm not familiar with the Note 4 so I'm assuming you are wirelessly broadcasting the image to a receiver stick plugged into the projector's HDMI port. If that's the case, you may be losing some image color quality in that wireless process.
Have you tried hooking up a blu-ray player or cable box or gaming system to the projector to see how everyday videos/movies look? If they look much better then you'll know you're losing something with the Note 4 video feed.
If your projector is brand new, the color may shift a little as the bulb ages. My calibration settings were with a 1000-hr bulb.
One long shot to try would be experimenting with the color space setting under the IMAGE / ADVANCED menu section. It's probably defaulted to AUTO but you could try one of the other options to see if it improves the pic. I doubt it will help but it was a thought.
And be aware that the USER settings get overwritten if you're in a different MODE -AND- you tweak a setting like brightness, contrast, etc. As soon as you make a tweak in one of the standard modes, those mode settings and your tweak now become the new USER settings.