It's quite close. The Re:Zero anime mostly adheres to the manga, with only a few minor differences that don't significantly impact the main plot or character developments.
The 'Iskei' manga and its anime adaptation are quite consistent. The anime might have a few added details or visual enhancements, but it stays true to the main story and character developments of the manga.
To analyze comics effectively, you need to focus on multiple aspects. First, the themes - what messages is the comic trying to convey? Next, the panel layout - how does it guide your eye and pace the story? And don't forget about the color choices and their impact on the mood.
Honestly, I have no clear idea. It could be that Baka is some kind of reference or nickname within the Fruits Basket manga universe, but without more context, it's hard to say for sure.