No, they shouldn't have the right to do that. How is this any different from Microsoft blocking inclusion of competing web browsers on earlier versions of Windows? Do you like Verizon or Comcast having the ability to arbitrarily throttle bandwidth for services like Netflix because they'd prefer you use their video services. The problem in all these cases is these companies control the delivery systems or the 'pipes'. And considering SoftBank is being offered by all the major US carriers, consumers have no choice but to comply. I'm curious how they were all cited for collusion. If the government all of a sudden decided to sell their own vehicles and then decided you now couldn't drive anything from GM, Ford, Toyota, or Honda on their roads, would you think that's competitive balance? (Yes, I understand this is a far fetched example but I think the analogy holds true).
Yes, Apple decides what products are sold in their stores but companies like Bose have countless other avenues to sell their product. When the major US carriers block other payment solutions like Google Wallet, Google has no alternative option.