I can see several good points for Destiny when compared to AToW, though neither system is perfect (especially as written), and neither system is going to be the right way of playing for everybody.
I personally think Destiny might be a good system to use for PbP/PbE games because of its simplicity and narrative focus, which is a major part of those games when compared to more traditional face-to-face games, which AToW seems more specialized for. Also, people who like systems like Pathfinder/D&D3.x will probably prefer AToW, while players of many systems like FATE/7th Sea/Savage Worlds/etc. will probably be more comfortable with Destiny, so as a way to bring in new players who are used to these system-light franchises it works very well. Additionally, it has the advantage of being easier for some players to grasp than AToW, and character creation can be accomplished much, much faster, which is very nice for pickup games or when a PC gets killed and a replacement character is needed.
Destiny also has several good rules options included in it's pages. The new vehicular-scale combat system is a nice middle-ground between Alpha Strike and Total Warfare, and the Tags system is a nice and easy way to give missions, characters, factions, and vehicles a sense of flavor that can be grasped easily and quickly without needing a full description taking up several paragraphs. The inclusion of quite a number of mission frameworks is also very useful, as a GM can use them to quickly flesh out an adventure for their players when they need one in a hurry - not as good as the old adventure modules in some ways, but far better than nothing, and it's nice to have so many in one place.