It is an extension of it doesn't matter and I don't care. Most commonly used for inanimate objects or creatures to show indifference towards something.
Are you going to feed your fish? it doesn't care!
While Bush probably cares the least for blacks, the truth is George Bush dosent care about most people.
Kanye: George Bush doesn't care about black people
crew: no shit but you cant say that on the air.
Tyrome: Yo bitch, dat look just like a George Bush doesn't care about black people!
Jyrome: 'eyo son I'm a negro staight up dat white ass boy gonna get popped by Kanye!
Tyrome: FRIED CHICKEN N' HOT SAUCE FO TONIGHT SONNN!
A statement made by rapper/musician Kanye West back in 2005 that showed both his astute political ignorance as well as his inability to think before opening his mouth.
(Some natural disaster hits New Orleans/Oakland/Detroit)
Kanye: George Bush doesn't care about black people!
Some guy: Kanye, you's one dumb motherf***er.