DWL at part in bold... really now. That is how you tell how pics really look. You view them on a bigger screen.
If you say the pics look the same as on your tv its only three things.
You eyes need checking.
Or your Note screen is bad. TVs are naturally bad at displaying stills (not dissing your tv, look at a pc monitor and you will see).
Or you have an awesome tv lol.
Different monitors dont really matter if pic A looks better than pic B on a said monitor it will always look better on any other monitor.
The size of the monitor is what matter the most and the resolution. Smaller the monitor the more it hides flaws.
Since I got the Note 4 I am able to see how bad the quality of images are that people upload on facebook.
It doesnt look as bad on my Note 2 screen and looks ok on my 5s screen. Reason being the screens are smaller and hides the flaws.
Printing meh... Monitors have way more colors than any printer out there.