Except, of course, it doesn't work that way. The contracts with CBS and Fox require ST to be sold at a "premium price", generally understood to be $300 for a home account.. They cannot just include it in Prime and raise the price $50. This exact fact is why Apple left.
I get that you are desperate for this money losing package to some how make money. Now thinking that about 50M more households that do not even watch the free games won't mind paying for it. But as the end game plays out, it seems that everyone at every sports media journalism outlet was right. It won't make money.
So, two possibilities. Either Amazon, flush with cash, tosses it up for about $300, hoping to recoup some of the loss by driving Prime subscriptions, but really who is left to get, with Prime as the predicate, which is the less consumer unfriendly outcome. Or YTTV tosses it up with the awful YTTV as the predicate, trying to drive liner TV growth, which is not.