I think powered speaker are better the passive speaker in theorie. I do not own powered speakers. But let me explain. A true powered speaker would have an amp for each unit, unless 2 units take care of the same frequency. But if you have a 3 way speaker a powered speaker would have 3 amps. The great advantage of that is the filter can be made with really good components without it costing the world. Normally filter components like Jantzen caps can cost a lot this is because the have to deal with the high voltage and amperage. But in an active system the filter only has to deal with a line level signal meaning the caps the coils etc can be a lot simpler. So a high quality filter for an active system would if I had to guess cost less then half of what it would cost in a passive system. Also if the manufacturer know what he is doing he can design the amps so that they match what the driver needs.
But sadly there are not that many brands that are willing to take the risk and market active speakers for the consumer market.
But sadly there are not that many brands that are willing to take the risk and market active speakers for the consumer market.