Yes, wireless would generally be active. There are various wireless protocols but one issue to watch out for is that the usual public ones (like over Bluetooth) are lossy. I *think* technically Bluetooth does not have enough bandwidth for lossless and you need a WiFi network to do that.
So the only lossless ones I'm aware of are proprietary systems like B&Ws new Formation stuff which is expensive, and Apple's Airplay which is in few speakers so far. Formation also can act as a Roon endpoint so you could use that lovely interface to pick your music.
Another issue to watch for is that powered speakers are mostly smaller, and folks think "oh I'll add a subwoofer" but most of those do not have any provision to add a subwoofer properly. By "properly" I mean that somewhere there must be a highpass filter cutting the bass out of the satellites, so their amp and woofer are not still straining uselessly to reproduce the low notes, obviating a lot of the benefit of the sub. Even if something has a "subwoofer out" you have to do detailed research as to whether there is a highpass setting.