I think
@AcuDefTechGuy hit the nail on the head with his response.
There are a myriad of reasons why the vast majority of people find this solution to be the wrong way to go.
What happens if ONE amplifier fails in one speaker? Do you turn into an audio engineer and pull the amplifier out yourself? Do you send the entire speaker out for repair? Do you buy a new speaker?
Keep in mind live sound doesn't exclusively use powered speakers, a great number of live sound setups use passive speakers, just like home theater, and put their amplifiers into a equipment rack.
The reason this isn't done in home theater is that you need to not only get low level audio signals from the source, to the speakers, without adding noise into the system, but you must also put a power outlet right next to every single speaker location in your home theater space. This is inconvenient and not actually necessary if you have your amps in a single location.
Running speaker wire to speaker locations is often a better solution since AV receivers often have integrated amplification. If you want more power, you simply get bigger amplifiers and move the speaker wire from the AV receiver, to the new amplifier. This keeps low level audio RCA runs as short as possible and allows the speaker wire, which is much less prone to noise, to be the carrier of audio signal to the speakers.
The follow-up list which discusses how live sound venue speakers aren't actually designed for the smaller spaces of home theaters is quite accurate.
A HUGE factor in my experience, is that live sound speakers are terrible at low levels. They aren't subtle, they are a sledgehammer. In a live venue, you have 100+ people listening and drinking and making a lot of noise, even when they are quiet, the noise floor of a live venue is far higher than that of a home theater. So, having a higher noise floor in the speakers is perfectly acceptable. Nobody will notice. So, there is often just a bit of hiss out of the speakers, which you can definitely hear in a perfectly silent room, but never in a club.
I would use passive speakers with good amps as my preference. I would definitely run speaker cable to all speaker locations. If I were to run additional cabling to speaker locations for future 'active' speakers, I would run decently shielded coax cable as well as balanced audio cable. The price isn't all that much to add those wires, but I don't make that my practice currently and can't imagine doing this in a home environment as a standard.