I don’t get it, they and other active speakers are not completely wireless. They still require wires and specifically power cables. Surely power cables are more cumbersome than good old speaker cable? I get that in some cases there maybe sonic benefits, but definitely not easier to install.
The key benefit of active speakers is not in reducing the amount of wires, although that helps. It's in eradicating one of the main problems with HiFi, which is matching speakers and amps.
HiFi enthusiasts won't see that as a problem of course, and will spend a lot of time and money on it, but those of us like me who are audio enthusiasts and audiophiles, and want the best possible sound without the associated risk of mismatched components, nor who have the time, money or inclination to be a HiFi hobbyist, active speakers are ideal.
You know that the best possible amps for the speakers are already installed, and the sound characteristic established. If that sound is not to the person's liking, another active speaker can be found that will be.
Professional studios use active speakers for monitoring and mixing because the sound characteristic for a particular speaker is fixed and predetermined, so it acts as a reference point when assessing the mix.
I agree that actives are going to take over for the majority of users, although there will always be a market for separate amps and passive speakers for those who have the time and money to indulge at that level.