There are a few things worth noting about power amplifers. They use high current transistors and here are some characteristics. As it turns out, the high current leads to large voltage drops across the resistors unless you use low value resistors. Power amps drive loads that require high current. It seems like you could still use a low current transistor. But here is the problem. Since the load is a low value resistor, and you still need voltage gain, the emitter resistor must be a low value. If you use a low value emitter resistor under low current, there isn't much voltage drop. Since the low current transistor can't drop a lot of voltage because of it's low power rating, you are stuck with a collector voltage that is very close to ground. And in order to get linear amplification, you need a collector voltage that is somewhere close to half the supply. Maybe your thinking that you could operate the low current transistor at a very low current, okay. Also you may think that since the load is being supplied power by the supply, you might not need a large signal, okay. Well operating the transistor under low current might get you the collector voltage, but the change in current is low in small transistors and therefore you will not get much gain. If you don't need a large signal then yes, you can use a small transistor and let the supply power the load.