Conventional App Store iOS apps can share files with computers via iTunes by including UIFileSharingEnabled
in their Info.plist. Shared files are placed and / or extracted from the Documents
directory for the application. Jailbreak / Cydia applications, which are system applications, do not have such a directory - so I assume that they cannot use this function to exchange files with a computer? (Obviously jailbreak devices have more options for file sharing, such as ssh.)
EDIT: just to be clear, I'm talking about system applications, not regular applications that, for some reason, are sent to Cydia.
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