Active speakers ("powered" can mean they're still passively configured, just with built-in amps) span quite the varieties, both in size, price and quality. If you're more of an entrepreneur and don't mind diving into the rabbit hole of doing filter settings by yourself, you go outboard active and get to choose the components just as you see fit - same as you would passively. No excuses here; get familiar with what active can do with separates by your own hands and abilities, and without the bloody power and quality draining complex, passive filters in between.
Going by the OP's subject however, i.e.: bundled active speakers, imagine finding the "balls to the wall" active filter-amp-speaker (and possibly DAC in addition) system that suits your ears and dreams and that has the benefit of providing for a much improved amp-to-driver interface, and then forget about it and start concentrating on improving everything around it from the basis of a much more resolving and transparent (active) speaker system with a major bottleneck less to deal with.
Sometimes you get the feeling that the conservative, passively configured speakers only folks believe active speakers don't give you the opportunity to tweak the system in which they're implemented - that is, as if it's a negative - but it's actually more about the blessing of not having to deal with tweaking in the primary area of amp-to-driver interfacing (something that, conversely, would be necessitated from a passive context, though to a much lesser outcome), and instead being able to focus on fine tuning from said better, active outset. For those who don't believe an active speaker context can be true high-end and everything you want it to be, dig a little deeper.

