There are some definite benefits to powered monitors - here are just a few from my point of view...
1 No insertion-loss due to passive components - passive crossover components can reduce efficiency by 6dB or more. This means you will need much more power to get the same equivalent output with a passive speaker design.
2 Much more flexibility, with regard to EQ and phase compensation, allowing for flatter response and better off axis response.
3 Amplifiers can be designed to exactly match the drivers - no guess work for the end user.
With regard to "phase accurate" / "time-aligned" monitors -
1 Any speaker that is ported (or uses a passive radiator) can not be 100% phase accurate. This is because a port is a resonator, which means it takes "X" amount of time to start and "X" amount of time to stop resonating. This "X" variable can change with level and frequency.
2 A 2-way system, that does not have the drivers mounted in a coaxial arrangement, will only be time correct when the distance between the acoustic center of both drivers, is equidistant from your ears. If the driver arrangement is vertical, the time-alignment will change as you move off axis vertically.
3 "time-alignment" or "phase accuracy" has nothing to do with powered or passive speakers. It can be done physically, by placing the drivers in time alignment, with active electronics / DSP, or a combination of those 2.
General comments -
1 All speakers, and when I say all, I mean - all manufacturers, all designs, all types, at any price - are a compromise. There is no such thing as the "perfect" no compromise speaker system.
2 The single biggest factor in how a speaker system sounds and performs, is your room. If you can, it is always a good idea to acoustically treat the room. I would also do some research on boundary / speaker interaction, so that you understand how placement affects performance. Lots of good books on these subjects - and you can usually do the treatment yourself, for relatively little money.
Cheers!