Cellebrite will provide you with the logical (backup) option and also an alternative file system extraction method, but not physical support for iPhone 4S & above.
The aforementioned methods will not only provide you with the live data, but in addition if it is deleted data you are after, this can also be obtained. This is due to the fact it is possible to recover deleted data from the relevant SQLite db files which are extracted. This can be done by using Physical Analyzer or/and various other software including Oxygen.
Regarding Elcomsoft iOS Toolkit, read this to understand support for iPhone 5 running iOS 7 physical support:
http://www.elcomsoft.com/PR/eift_140130_en.pdf
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