The correct solution is an anti-trust investigation into Amazon. Not carrying or supporting competitors TV boxes is a clear restraint of trade when Amazon Prime gives you a near monopoly on e-commerce for a huge block of customers.
I really wouldn't use the word "monopoly" to describe it when anyone with the ability to buy these things from Amazon can just as easily buy them from Apple or Google's online stores.
The Key difference was MS was an effective Monopoly in their market with something like 90+% of the market share
Amazon is big, but still is only about 36-40% of the e-commerice market share, and far far less of the over all retail Market Share which is still dominated by Wal-Mart
The problems Microsoft had at the time went way beyond having IE already installed with Windows. Besides, without IE already installed the casual computer user would have a more difficult time downloading a competing browser.
I'm not sure it is. You start off in a position where you don't have the device, and you either go to website A or website B to buy it (leaving aside details where you already may have an Amazon account).
With the IE case, you start off in a position where you already have a browser and you have to perform an extra step to get a different one.
It pisses me off that Amazon doesn't support chromecast, but is it really their responsibility just because google wants them to implement their feature that they do?