I had the same thing happen. It seems to apply to fights categorized as boss fights only.
This is the first Persona game I am playing, and the way they drain you out of time as a ressource is super stressful. I can not buy items since I am alway low on Yen, and can't unlock perks as I am alway low on time, and going into a dungeon without good skills, items or equipment is another waste of time.
Not sure I can keep going with this, might switch to 7th Dragon III and just dungeon crawl all I want.