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No, it is not important. You can download a full ROM (ftf file), and use Flashtool to flash your phone.
Android 2.3 = ROM 4.0.2.
Android 4.0 = ROM 4.1.B.

You can find a link on how to use Flashtool in the first section @ http://forum.xda-developers.com/showthread.php?t=1642480 . Scroll down, and there is a list of stock/factory ROMs that you can download (it is below the section of unofficial ROMs).
 
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