You know, you can say or do whatever you want, but Stubborn Toddles will ALWAYS achieve their goals. Sadly it could happen they hurt themselves during the process. So this post is just an advice: keep some Popsicles in your freezer even in January, it's the best way to cure a swollen lip without additional tears.
I've never been able to put ice on my Kids' bruises, but a popsicle in their mouth in order to cure a swollen lip, YES! That's works ;-P