All they are doing with powered speaker is placing a cheaper class-D plate amp inside the cabinet.
In terms of efficiency, "synergy", "timbre matching" or whatever, it is utterly no different than using an OUTBOARD active crossover and OUTBOARD amplifier.
However, the OUTBOARD components you CHOOSE may be a lot better in quality depending on what you get.
The outboard amps from ATI, Lexicon, Theta, Mark Levinson, Krell, Bryston, Parasound, Anthem, Classe, McIntosh, Sunfire, Adcom, etc. are unequivocally at least as good as those cheaper class-D plate amps stuffed inside the hot cabinets of those powered speakers.
I say that depending on your personal preference and use, some (like myself) will benefit from an active SYSTEM and some may not benefit at all from an active system. It all depends on your preference and use. It is NOT all black and white and clear cut.