As a kid, I hated when my mom applied sunscreen to my face because it was so cold! 🥶 I don't think she kept it in a fridge or anything. It was the formula. When older, I didn't notice that at all when I used the same sunscreen. Also, I was not too fond of runny sunscreens because I was afraid it would get into my eyes, so I was constantly moving around so my mom couldn't spread it (makes no sense, I know). On the other hand, I liked creams with a thick consistency because it felt like they were more under control.
But I guess every child is different. 🙂 Also, sometimes the trick that you let them choose their sunscreen helps, and they will like to use it (it always worked on my cousin 😅).