i really hope nintendo added this very specific animation of eevee on purpose, because if you know a little fun fact about animal behaviour then it makes it approximately one dkjfhgillion percent better.
quite often, you’ll see dogs doing something like this with their front paws. they pick it up and wave it at you. sometimes they even hit you by accident! but they aren’t trying to hurt you, oh no. quite the opposite. see, when you regularly pet a dog, it starts to learn the motion you do. if you treat the dog well and it starts to love you, then it will sometimes perform this jerky smacking motion with its paw. this is a dog’s best approximation of petting, and sometimes when you go to pet it, it will do it in an attempt to return the favour. cats also do this, although not as often, because cats are just like that.
long story short: eevee is attempting to pet you back, because it loves you.
this is just something i noticed, and it might not be anything. but i really hope that this was intentional on nintendo’s part, because it’s an adorable little addition to the game!