I experiences in a resent game that Aldaris has grown in power since Brood War introduced the Leadership cards. In the vanilla game, it is nearly impossible to achieve his special victory without using the advantage in CP - the cards were simply no real alternative for him. Now with the Leadership cards, he has a major edge on following the goal to win by "the End draws near" cards. Why? Because in every stage there is something to bring him near that goal in a very useful way.
Stage I, obviously, is needed to activate the Special Victory per se. This is important because many players won't anticipate this. If they plan to go with any other Leadership card than their Special Victory Condition, they need to go for CP, and you just added 30% to the effort they need to achieve that goal. Save for you of course, which can come in handy should your event-card-plan fail.
Stage II offers you the possibity to mess up order stacks, which is nearly invaluable. Not only can you defend your precious positions much easier, no, the main purpose is to create discarded orders, thus forcing enemies to draw event cards. Or obstructing them, for that matter. You have to watch closely what happens across the bord and empathize a lot with your enemy. You don't want them to come down on you like angels of revenge, but you want to mess up stuff a bit. Here you need some social qualities, or the board will hate you. Use this power never against those neutral to you, except it gives you a real edge, or else you'll find yourself swarmed by some guys remembering that eliminating you rids them of their 20CP-problem.
Stage III then is the real hot prize. Both Leadership cards will help you a great deal. When you can see that no one will reach the 20CP the round following stage III, you'll go for the 8 orders. That'll make a hell of drawing cards for everyone if you do it right. 15+ event cards in a six-player-game ar a minimum. That means nearly the whole ******* pile is drawn, which ends in certain victory for you. If someone can reach the 20CP and no one is likely to prevent it, you simply skip the "Check for normal victory" and "Check for special victory"-steps of the Regrouping phase and hope the best for any stage III cards already drawn. The likely event is that no two "The end draws near" cards are drawn. So, you'll go for the 15CP. Aggressive expansion is the key. You only have four orders, use them wisely. You need to bring havoc to reach the number and remember - the CP are countes in the Regrouping phase. Hit any one around you, especially guys not expecting it. This is the last round of game, and your the only one to enforce the will of the Conclave!
All in all, chances to win with Aldaris' special victory are much better with the Leadership cards. Since the other two stage I cards are not that good (especially the Conclave Fleet is highly overrated in my opinion and the re-depleting of areas only matters should you be in a desperate position which isn't something to build a strategy on), it is a likely choice to enforce the special victory of Aldaris.