Source: The can I'm drinking right now.
Coke Zero is a more modern formulation which is supposed to taste more like "classic" Coke than Diet, which has its own distinctive "artificial" flavor which some customers have become accustomed to. It's also marketed very squarely towards young men: during the recent "Share a Coke with X" campaign, there was even a "Share a Coke Zero with a BRO" can, which made me laugh a bit.
My experience in Sweden was that first they with big fanfare changed Coke Light (what they call Diet coke outside of English-speaking countries) to Sucralose, then introduced Coke Zero, which used Sucralose and silently changed Coke Light back to Aspartame, and then at some point silently also changed Coke Zero to Aspartame.