First off I would like to point out that I have problems with the game other than just the scoring so don't skip reading this post.

I noticed that in the begining of games the dice stacks are are more even now. Thus it is hard to find any territory in the first round that you have a decent chance of winning against. This removes strategy because when you are forced to only attack territories that are close in dice count to yours and you can't string together a large number of territories that you can take to get reinforcements with then the game turns into a luck fest with the person that either gets the luckiest attacking rolls or the luckiest defense rolls winning because the other people who lost have weak territories with hardly anyreinforcements first through second round. So by this point unless there is a powerfull alliance between the 3rd and 4rth largest people the game is pretty much over. And if you have an very unlucky game and your enemy defends a lot against you you get negative dominance points just because you couldn't get any good attacking rolls. Thus this game rewards one thing and one thing alone, luck. If I play a smart game of take and hold (can't do that anyway because there are hardly any stack size differences early game now) I will get bad dominance points unless I am lucky enough to get good rolls and take first or second place.
This new system also only makes alliances more of a problem than before because they now just slowly whittle down all the other players and kill everyone elses dominance rating. So when one person is super big or there is a big alliance the only thing you can to do not get raped point wise at the end of the game is to go kamikazi and hope to achieve a good dominance rating since trying to take and hold territories and get decent stacks will only kill your dominance points in a long game where a pathetic alliance between the two largest people slowly destroys you.
I could write more about this but this post is long enough. In conclusion the new system rewards early luck and alliances between the two largest people and it punishes the idea of taking and holding small numbers of territories in the first few rounds and working the advantageous stacks.