I would never let the other team do video livestream. It is the home team’s right to make money off the game. Always has been. Admission, concessions, and yes, video. Teams have traditionally allowed visitor’s radio crews and it’s my opinion that will probably stay the same.
I, like many of you, remember when you either went to the game or you listened to the radio. Life dictates that sometimes people can’t afford to go, or they aren’t able to go for various reasons. Entitlement has crept into every facet of society.