It's easy enough to programmatically disable sleep in an iOS app, but I don't want to pay $99/year for an Apple developer account just so I can make a UIWebView in an app that disables the sleep timer.
And yes, Panic's Status Board exists—but apparently it's buggy and not being actively developed anymore. It's more sensible than a $99/year subscription, but still not ideal.
What I'd love is the equivalent of Fluid.app for Mac, just for iOS and obviously with the option to disable the sleep timer.
Does a suitable iOS app exist, or would Apple reject any candidate because it'd be nothing more than a UIWebView wrapper?