If you love anime fighting games, go ahead and play it. However, if you love Persona, I'd recommend skipping it. The story is somewhat of a mess with two sides that you can't connect with each other, and there are useless explanation texts during dialogues that the game skips if you turn auto play on. The extra modes and online features aren't worth it either, as the former is just grind, and the latter has a high difficulty ceiling for new fighting game players.

Best way to experience Persona 3 for the first time with new changes to social links and tartarus.
However, for old players, the game may feel incomplete, and I don't think it justifies buying it again and spending time beating it just for a few new dialogues and a simplified combat system.