I can clarify on that a bit.
Weapon and Dragon Tear drops from the MC have been moved to the Emperor as new drops (you'll still get the same number of these guaranteed per run).
Rings from the MC have been moved to the Zodiac as new drops (you'll still get the same number of these guaranteed per run).
The chance at the extra weapon from the MC has been moved to the Zodiac as a new drop (you have the same probability as before of receiving an extra weapon drop per run).
A larger number of Phials of Heavenly Knowledge will drop in total from the Memory cloud bosses.