I may be an outlier here but I do limit screen time with dd3.5. She watches max an hour a week of PBS kids or YouTube videos on subjects that interest her plus about 5-10 minutes a day on ixl.com. I am always with her when she is watching and we often talk about it later. At one point, she was starting to get addicted to screens and would throw tantrums and get real mad. However, I was firm and used a combination of these techniques:
1. Threaten with minus points from Santa ( okay agreed not the best approach)
2. Explain logically about passive vs active entertainment and how they benefit/hurt
3. Entice with more appealing activities such as going outside, doing messy science experiments or enacting the tv characters she likes
It worked and she hardly ever asks for screen time by herself.