I would hope so. Though I do enjoy pso2 on my ps4 the console clearly struggles with the game. For example the same PC lobby stutter is there, but whenever I go to a full block the frame rate takes a huge dive. It get very "cinematic" and to make matters worse the screen tears like crazy ton's of screen tearing. It's very comical to look at it.

Though the game runs pretty well while in quests it does have it's slow down moments like in PSE burst or when tons of spells and effect are flying about.

I think the ps4 "pro" could be a good opportunity for pso2 on ps4 to get that extra performance it needs.