That is how it is on PS4, It can look blurry when close up in my opinion, some like it more than the flat look before - I am on the fence with this & don't mind either way.
It is not a bug / glitch you are seeing that is the way it is.
I cant believe that this should be the correct look of the animal hair, IT looks like a graphical Bug. I realy want to know if IT looks same for other ps4 Players or if its a Bug only on my TV or ps4
Unfortunately, it's meant to look this way. In order to achieve the hairy look, they had to make the hide blurry. Totally stupid and artificial if you ask me. Try to ignore it though. There are much more other things to complain about - believe me.