Here is the problem as I see it. Yes, it makes sense to listen to the X-01 Limited, and perhaps it sounds substantially better than the stock X-01, and perhaps the sound of the X-01 Limited would be enough to satisfy someone who did not have the thought of owning the APL version. However, if the listener has APL's redesigned X-01 in the back of his/her mind, then it doesn't matter how exceptional the X-01 Limited sounds...it won't be enough to quash the listener's nagging urge to own the more expensive APL. It's just human nature of desiring what is not owned. It's Law #2 of the Audioholics Code.
BTW, I happen to believe the APL redesigned X-01 will probably sound better than both the X-01 and X-01 Limited. However, I also am quite certain the APL X-01 will have no semblance of the Esoteric house sound. That could be an important factor for an owner of the Esoteric X-01.