Nonono, if you are a true mage (not anti-mage) you will go the apprentice stone, twice as fast magicka generation but twice as much damage taken from spells (resistances are broken so it might not be twice but way less)
Not sure I agree, even ignoring the fact that magicka regeneration +100% isn't the same as twice as fast magicka regeneration (consider that other magicka regeneration effects maybe at play), the fact it slows down so much in battle kinda makes it pointless. If not for a bug related to absorb spell, then the Atronach Stone would be the best for mage since +50 magicka really does more for combat then 150 magicka regeneration speed does, tho 150 magicka regeneration speed is relative (if you're say using archmage's robes and have regeneration perks from the restoration school you'll notice barely any difference, if you have no other regeneration effects you'll notice it a lot outside of battle). The bug however is the killer, it randomly absorbs some self-cast spells like conjuration which doesn't at all help, as such given that the apprentice stone effectively makes you a sheet of paper against any other mage I've stuck to the mage stone and will later probably go lord's stone when mage stone isn't needed anymore.