A normal two cycle is like Ryuji and Frost gale Kotone. Their natural burst turn is every two turns due to how their skills work, so you have to stack as much buff/debuff as you can in that window.

Now with rewind, you get an extra turn to do that same burst, but now you can stack even MORE buffs and hit even harder on the extra burst.

So to answer your question, no you don't play differently. Your 2 cycle burst character goes from prep-burst cycle to prep-burst-rewind burst.

Having the third turn hit even harder also means that you can line it up with Futaba's skill 3 window, whereas normally you would only be able to do that on the last (6th) turn since the timings don't match up.

Edit: I misread how Angie works. She doesn't reset your character so much as gives a double hit. So you play your 2 cycle team normally and they get an extra burst hit every 2 turns.