OK...
As a paying customer of
Apple products, I feel that Apple should lower the cut they demand from Amazon- or even waive it- to motivate Amazon to bring Prime to my

TV, my "streaming box of choice." Since Apple can't make a nickel from Amazon not being on the device... and, in fact, might be losing some sales by not motivating Amazon to put their app on the box, this might cost Apple net NOTHING. I've already paid for Apple products and for many Apple services, so why can't they bend to give me what I want and/or benefit the other player in this arrangement?
Let me guess: not the same at all. We only favor Apple making every possible dollar at anyone and everyone else's expense. We cannot possibly see it any other way, especially where Apple might not maximize their take. All companies should bow to the mighty Apple and give it anything it wants just for the privilege of association. Who cares about their business objectives? Only Apple matters. Even if we consumers must do without... or spend more... what matters most is that Apple gets their way in all matters. All others who challenge that concept are wrong.
I can grasp your points but they are so extraordinarily biased pro-Apple and con-(anyone else) Amazon (in this case). Personally, I like to buy lots of stuff from both Apple and Amazon. I like BOTH companies. I do not subscribe to the philosophy that everyone else must bend to further enrich Apple. Conceptually, both companies serve us consumers. It's OUR money they both covet. This should motivate them to work together to give us what we want. In this case, Apple is above them and us. Apple is basically saying, give us what we want or tough luck Amazon... and tough luck Apple customers that want access to Amazon via

TV.
But again, let me guess: I'm wrong to see it that way too. We consumers should not get what we want if Apple cannot get what it wants first. And Amazon should just comply with whatever Apple wants. Else, it IS Amazon's fault that we can't get Amazon via

TV. Apple plays no role in preventing it. And we consumers should just deal with it... and blame Amazon exclusively for it.
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While I agree, imagine the situation (purely speculative on my part, I'm not privy to the actual negotiations):
Apple: You can put your app in our store on our terms. No, not at our special deals with Netflix & HBO. (we have our own streaming media we want to sell and yours overlaps pretty heavily with our library).
To try to motivate Apple to compromise what do you do if you are Amazon? Begging doesn't work. How about:
Amazon: Then we'll stop selling this product line in our stores until you give us a deal like you gave Netflix & HBO.
Stalemate: Amazon loses potential revenues & new customers from

TV people. Apple loses sales of

TV via what is probably the best online retailer on the web.
While both stubbornly cling to their individual positions, we consumers are the real losers here. But, of course per some of us, only Amazon is in the wrong for this stalemate. They should just give Apple whatever Apple wants... and feel honored to do so.