is my current Note 5 supposed to take better photos than my old Note 4?

While the note 5 currently has one of the best camera's on the market the note 4's was also great in its own right so you may not see much of a difference. I know I didn't but maybe I don't have a good enough eye for photography.
 
While the note 5 currently has one of the best camera's on the market the note 4's was also great in its own right so you may not see much of a difference. I know I didn't but maybe I don't have a good enough eye for photography.

so there should be no difference in the photo quality? :)
 
so there should be no difference in the photo quality? :)

Under optimal/good lighting conditions. My N4 struggled in low light situations. Some would look good but more often than not they would be blurry. The N5 produces better images more consistently under the same circumstances.