If you look at the paper describing the Mersenne Twister, one of the first sentences you can read in the FAQ is:
Mersenne Twister is not cryptographically secure.
Since this post here specifically mentions suitability for cryptographic purposes, at least, in its categorization, it should immediately be clear what its alleged advantage over Math::Random::MT is.

In reply to Re^2: A better rand() for Win32 by bart
in thread A better rand() for Win32 by bitshiftleft

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