so she's 100% gonna catch his cold, which per the usual trope means he'll be fine tomorrow, she'll be sick, and he'll go to her house to take care of her in return in spite of his embarrassment and her mom's inevitable teasing
@InsaneInsomniac
By looking at raws I can confirm you this doesn't happen:
it doesn't follow these tropes too much, which is one of the reasons I appreciate this manga.