Not sure but I think you get a certain amount of enlightenment each day. It doesn't matter if you play on one character or five you get a set amount. Once it is gone you go back to earning CP slowly until the next day. Also if you miss a day or three it saves so you don't lose it?
Champion points are account wide so it doesn't make much sense that gaining CP would be character based.
It stores up to 2400K i think or 8 days.
ZOS_GinaBruno wrote: »Every 24 hours, you receive enough Enlightenment to earn one Champion Point at the rate of 100,000XP per Point; after your Enlightenment is used up, you will return to requiring 400,000XP to earn a Champion Point. The 24 hour timer starts when you log in with your first Veteran character or unlock the Champion System, whichever is first, and resets every 24 hours after it first starts. You will receive a message on your screen that you are Enlightened, and you can also hover over your XP bar to see if you are Enlightened.
If you end up not using up all your Enlightenment while you play, it will continue to accrue for a maximum of 12 days. Once you hit the limit, you will not gain any additional Enlightenment until you begin to use it by gaining XP.