Actually yes. Faith was just no crystals not no dead Ranald power.No. Unless someone comes up with an idea that entirelly orthogonal to this, IE something like the Runelords use for recharging anvil, we aren't touching AV-Divine actions. We can offer AV up to a priest, like the Runelords, to see if they can come up with a God Sactioned use for it, but the days of Mat looking for AV-Divine research are over.
Whether that would be permissible or not is not affected by choosing Faith here and sacrificing the crystal.