The Canon Faithful style versus the Dcraw or Adobe color matrix

That's not really the sort of thing that Faithful is for. Faithful is about obtaining colors that are relatively true to what would have been obtained in sunny conditions — once the white balance is correctly set. For this photo, emulating sunlighting isn't really a reasonable thing to do.

It looks to me like the main difference between those conversions isn't the color rendering but the white balance.

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The open-source LightZone Project: http://lightzoneproject.org/