I don't see an issue with this either.
I'm a screen free program so its not an issue here
All the reasons you listed as why you need the TV have alternate answers besides TV so I don't see this as that big of a deal.
Personally, I love TV but I do not believe it belongs in early childhood at all. Everything the TV "can" be used for also has alternate options.
As for school becoming tech-y as someone else mentioned... I agree but these kids get plenty of screen time on their "not at daycare" time so it's not like we are depriving them of learning electronics.
Also, I believe the basics (taking turns, good manners, waiting your turn, raising your hand, being a good friend, etc....) are ALL foundational and important skills to have BEFORE entering public school...if you know pro-social skills, the tech part will be super easy in school.
