IIRC, she did get spanked for breaking some award and trying to hide it, but not the typical minigame.Could be, you make a fair point.
I just hope it doesn't become Lucy, not just because of my ginger/redhead bias and love for her, but it's nice she so far has not been spanked, makes her more unique if we going to end up spanking most of the girls.
That said, while I don't remember what the reason was that got her in there, it could be related to her poor family, I don't remember... but point is that as long as her grades are fine, I can see her story not requiring that element. She doesn't really seem to have any behavioral problems that need correcting, she just needs money and likes attention.
I have a hard time seeing a reason to get her into the punishment system, unless something changes in class. Even if she does something else wrong in her job, he will likely handle it there, in private.