Earlier quoted context omitted.
I am not allowed to use a browser I want on iOS. Do you count this as “using their machine”? The reason is the lack of freedom to do what I want with the software.
Not sure what that has to do with hardware but I'll bite: users don't care. They don't know what a browser is, what a client is, or an URL or URI or address bar. They want a device that when they turn it on and type in 'tictoc dance dog' it shows them something that resembles what they had in mind. Doesn't matter if it runs WebKit or Gecko or if someone thought it'd be cool to emulate a trident-based engine on iOS on…
All true but irrelevant. The problem is that artificial lack of choice prevents competition and innovation. Microsoft from the 90s is here again. And users don’t care, again.
I do not count another UI as a new browser. It should be different under the hood.