Look, there is some serious misunderstanding about what "HDR" is and isn't. Let's clear up some stuff here.
What you are talking about is tone mapping. When you take 3 exposures and combine them, you're just tone mapping - bringing out visible range in various parts of the exposures. You're not generating an HDR image.
What you call "fake HDR" is an oxymoron - it doesn't exist. You can't pull out data that isn't in the image. All you're doing here is exaggerating what little information is already buried in the image. It has nothing to do with HDR.
The end result of "real HDR" is a high-dynamic-range image that can be edited with various HDR tools. It contains more range than can be displayed all at once on most display devices.
Since none of the sensors in any iDevice have a high dynamic range, and since no image generated by an iDevice is an HDR format, you can't get HDR from an iDevice, regardless of how many exposures you take.
Not that anyone will bother to read it, but here is more information:
http://en.wikipedia.org/wiki/High_dynamic_range_imaging
To summarize, the only way to get "true" HDR images is through rendering that handles unlimited range lighting calculations, via HDR image sensors (RAW data from cameras is a small subset of HDR), or by combining multiple exposures
into an HDR file format, such as EXR.