It is great seeing the level of differences in how people perceive the characters, setting, cutscenes and narratives of Persona 3 and 4. I started playing Persona through Persona 4 Golden, so I will not pretend to have any attachment or deeper understanding toward the series.
I am about a quarter way through Persona 3 (the beach setting), but I already know of the ending of P3. Ironically enough, I have known of Shin Megami Tensei since I was a kid but never could get into the series. Persona 3 was incredibly different from Persona 4 in color scheme, tone, atmosphere, setting, and even the way the characters interacted with one another. I think I may have a somewhat negative opinion of P3 when I finish just because of how much l liked the way P4G handled things.
The narrative of P3 is probably the only thing that I will absolutely say is stronger than in P4G. My only main problem with the story are the characters, and I am not taken with them the way that I was with the Investigation Team. I have watched much of the cutscenes of P3, but I feel more like SEES are simply co-workers living together than an actual team. I understand why a lot of people loathed some of the comedy of P4, but I felt it actually showed them interact as people. That was character building for me, and I really don't see much of it in P3, outside the deaths of certain characters (which I already know who).
I won't get started on the music on P3 or its gameplay, but I am certainly not taken by either. My wish for Persona 5 is that although we can already see it will be infinitely darker than P4, it will have moments where characters interact with one another outside the narrative. Which I think was a weakness of both P3 and P4. I also want our setting to be more interactive, which I think we are finally getting. I personally find Tatsumi Port Island to be wasted potential, and I think P4 addressed the number of things to do in Inaba. I think in the end I will appreciate P3 on its own grounds.