I like the snow. I think it's pretty. But I got tired of it pretty fast, too. It wouldn't be so bad if it faded in patches in and out throughout the season. For instance, I think it'd be nice if the day after it snowed, there was snow on the ground. I know the game's coding could manage that. It's not really any different than rain doing a widespread watering of flowers or placing random gyroids underground.
I also have really grown to hate snowballs. I basically cut down every tree in my town for the season just to make snowballs easier to find, and I absolutely f***ing HATE dung beetles.