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I hear rumors (no proof shown in discussion) that the 12 damage and 14 crit stone (numbers might be off) applies the 12 damage to all attacks made and is better then the 28 Crit stone from MC. I highly doubt this but will be testing it later.
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This is certainly true when looking at the character sheet, as well as testing with the crappy gray weapons I did. I don't have any screenshots but it's pretty easy to test yourself if you'd like.
The Adamantite stones do seem to be superior because of the +12 Damage to both weapons. Interestingly enough, it applies to ranged attacks too... which isn't terribly relevant for Warriors, but it means that Hunters (should) have a very good reason to be dual wielding instead of using a two-hander.
As for Righteous vs. Adamantite, assuming that the stones work the way we think we do and the Adamantite Oil procs aprox. every 50 seconds with two 2.6 speed weapons the math works out to ~72.6 AP (counting Imp. Zerker and an Enh Shaman) versus ~64.6 AP (excluding Bloodthirst - the effect of +12 Weapon Damage to both hands) and 14 Crit Rating. At face value the Adamantite stones would seem to win, excluding the effect of overlapping temporary procs improving the Righteous Oil. That's hard to calculate and can have other problems (such as proccing in the first few seconds of a fight as you scramble to apply debuffs instead of throwing your damage rotation).
In short... I'm going back to the Stones, and time to see if I can AH those Oils.