I think it depends if Mona picked up on the fact that Kurumi and Naoi are into each other. If she did, then she might partially be doing this to get to know her sister's future girlfriend better, since Mona clearly admires Naoi a lot, so of course would also think anyone her sister's in love with must be amazing as well. Also, Mona blushed similarly when pointing out that Kurumi liked Naoi last chapter, or in the flashback while holding Naoi's hand.
Though whether or not Mona did pick up on Kurumi's feelings for Naoi, she currently only has a very superficial understanding of Kurumi at this point. And likening her to an idol means her opinion of her has nowhere to go but down. Like for example, if she finds out about all the things that happened in volume 1. She might eventually deem Kurumi a bad influence on Naoi and want to separate them, thinking Kurumi brings out Naoi's violent side.
Though I wonder how this volume will play out, since with the school festival this weekend in the story, and Kurumi's mom now imminent, that seemingly leaves very little space for Mona's plot to really expand. And of course there's the fact that last chapter established much of Mona's behavior being due to trying to fix whatever her home situation is. Meaning anything she currently says or does likely has an ulterior motive with that goal in mind. She views Kurumi and Naoi as liferafts, even if she does genuinely like them.