I think, first, it is important to understand that all the phones are in a "walled-garden" to some extent when you are running someone else's OS (iOS, android, symbian, MS) as are all computer programs at this point and probably for the foreseeable future since they are all code based.
A little negative proof hopefully will clear this up:
Can you on any platform run a program that does not conform to the code inherent in the OS? No.
You must craft the code to follow the programming that enables the phone itself to run.
For instance can I build a mobile app in fortran and then run it it directly in iOS or Android? No.
Those gardens don't understand the language and therefore don't provide the framework to enable the app to run let alone install. The whole API aspect supports this point as well.
And both the Android and iOS gardens are huge. There are probably incredibly few (likely less than one in a billion, 7 in the whole world) who have walked every square foot of either garden and the perimeters. If these people exist, more likely they did not find that there is absolutely no way to do things they wanted. The challenge, which is more likely what they sought in all this searching, is figuring out how to do so within defined parameters. This is what Gates, Jobs, the google guys, were driven by within the bigger garden, since they each still operate in the larger computer garden as began with Charles Babbage and Ada Lovelace n the 1830's. They have cultivated new plants in different parts of the garden and put up little fences to keep some other plants out, but still in the bigger garden. Sometimes they argue who planted a new shrub, cross-bed different flowers, or stole seeds which were sometimes carried on the wind of change or the pockets of gardeners, but they were all trying to make something that others would come in and enjoy, find useful, while limiting the amount of trampling a public can easily muster.
Second, anarchy is
• a state of disorder due to absence or nonrecognition of authority
Android is not anarchy, nor is IOS the opposite. Why because the phones do as you, the user in your specific garden, tell them to do, not other way around. (see above)
They don't randomly execute tasks in a non-consistent fashion e.g. hitting the answer call icon does not sometimes answer the phone call and other times open a browser, the last game played, install an app, etc. It always is tied to answering the call, as the software code (rules) dictates this must be the action. On the other end, the OS does not make you answer the call, force you to take a call you want to ignore, install updates you don't want.
The differences between OS's are much more subtle. There are differences in implementation however. iOS seems to approach the situation from a lessons learned incorporated up front while android has a more individual learning model. Both have merit at times. The ancient greeks debated this spectrum and most would agree that there are some experiences that don't need to be tried to know the outcome e.g. converting all text, code, writing in my phone permanently to hexadecimal will be problematic to efficient function, while others are less serious e.g. installing obscure russian porn apps developed by Vlad the Rich Pillager, are certainly for the more curious and risk-tolerant. Depending on where your risk meter is and what you need and expect the phone to do and the amount of time you are willing to wager on retracing steps is more a determination of personal positional at your current moment. This is why some people upgrade their OS (on a phone or a computer) immediately and others remain with an older version despite the new features.
With more being done on phones, many will see its efficiency as paramount, like companies dealing in financial transactions need failure rates to be outside of six sigma standards (less than a 0.000001 chance of failure), and other companies may see the need to be able to try some thing new in order to develop a new niche or market. Others, many probably, are still experiencing the new technology much as children do a new toy i.e. attracted by the attention given to it by other children, the sights and sounds and things it does, and without any explicit purpose other than to play with it. Each position is inherently right for their own reasons, but sometimes marketing, that attention of other children, can lead to someone not having the phone they want. And that is when the wailing begins that every adult wishes they could mute.