Macro photography is a minor hobby of mine, and since I don't own a camera, my phone is always my camera.
Compared to my s3 and s4, I am happy with the Note 4 camera and would say it's easily on par with, if not slightly better than the cameras on my past 2 smartphones. The biggest difference, though, is that I find the default camera app on the note 4 to be the easiest to use to date. That's...not exactly saying much, but it's a thing.
That's not exactly a glowing review - Sadly for me, my use case is in the minority; The auto focus is now and has always been spastic when trying to capture small creatures. For landscapes and people, however, it works as well as can be expected.
I will upload 2 vaguely similar images for comparison. You can decide if you think one looks like it's taken with a better camera than the other: The Mayfly begging for it's life was taken on my S4. A common orb weaver species was taken on my Note 4.
The Note 4 feels better, but I can't really describe why. That says to me that this is just a subjective feeling.