Well, eventually you are running into current limitations and power supply limitations, so you can't just keep doubling at halved impedances. And remember, that's the theoretical limit.
A good, beefy amp, will almost double going from 8 to 4. 4 to 2 is less likely.
Also, the type of amplifier makes a big difference. I don't think digital switching amplifiers work on the "double down" theory the same way transistor amps do. I could be wrong though, there are plenty of electrical engineer types around here to correct me.
But you are right, a lot regarding amps is specsmanship. In the 80s and 90s designers would run massive feedback in an effort to get absurdly low THD and power output (at one frequency, one channel driven). The amps sounded tinny, almost fake (like the edge enhancement on some HDTVs -- it looks sharper, but it's fake). This led to people referring to "Japanese sound" of amps, although american and euro designers fell victim as well.
The best specs are all channels driven, broadband noise at varying impedances. Those usually give you an idea if the power supply is robust enough and if the amp is well designed. But specs aren't everything, my 8W tube amps with awful distortion figures somehow sound magical in my music rig. I would have dismissed it until I heard it. Who knew?
A good, beefy amp, will almost double going from 8 to 4. 4 to 2 is less likely.
Also, the type of amplifier makes a big difference. I don't think digital switching amplifiers work on the "double down" theory the same way transistor amps do. I could be wrong though, there are plenty of electrical engineer types around here to correct me.
But you are right, a lot regarding amps is specsmanship. In the 80s and 90s designers would run massive feedback in an effort to get absurdly low THD and power output (at one frequency, one channel driven). The amps sounded tinny, almost fake (like the edge enhancement on some HDTVs -- it looks sharper, but it's fake). This led to people referring to "Japanese sound" of amps, although american and euro designers fell victim as well.
The best specs are all channels driven, broadband noise at varying impedances. Those usually give you an idea if the power supply is robust enough and if the amp is well designed. But specs aren't everything, my 8W tube amps with awful distortion figures somehow sound magical in my music rig. I would have dismissed it until I heard it. Who knew?