Despite the modern vs. historical settings, both dramas have the same premise of the FL trapped in a time loop that ends with a fiery explosion before the day repeats again.
Both are set within the world of a historically set manga and start with the FL dying and then traveling back in time. At some point in the story (start vs. near the end), the FL becomes stuck in a time loop of a day.
Both are mini dramas with a fictional historical setting (game vs. manga) with the FLs dying/reliving the same events repeatedly and trying to change them.