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Limitations
While creating an app seems like a relatively achievable project, especially with the advent of 'vibe coding', creating one that functions within Apple's preexisting systems is a massive technological hurdle. Creating an app that acts as a universal "Search & Control" hub for Apple TV is a sophisticated project because Apple's ecosystem is highly secure and "sandboxed." You cannot simply inject text into other apps (like YouTube or Netflix) unless those apps have specifically built hooks for it. Even when the concept is narrowed down to exclusively AppleTV, you still need your code to operate within Apple's code and 'take control' of their interface which is tightly locked. The pairing system between the application and the AppleTV is also quite complicated, but doable. Further, there is the legal issue of needing the code to be reviewed and approved before being approved for the App Store, and unless great care is taken to avoid copyright issues it may be difficult to distribute this app.
There is also a financial limitation. By designing a solution that relies on an iOS-to-tvOS pipeline, we are locking accessibility inside an incredibly expensive walled garden. It requires the user to own a premium smartphone and a specific streaming box, creating accessibility inequitably.