Even battery powered systems get line noise unless the line is physically disconnected. An earlier version of my turntable used a battery powered motor with a relay designed to do just this, physically disconnect from AC when the motor is on.
Its power. Its wires. It can be as simple as twisting the wires together. Or it can be as hard and expensive as you want to make it.
You are right-
Why make it any harder than it has to be?
Its power. Its wires. It can be as simple as twisting the wires together. Or it can be as hard and expensive as you want to make it.
You are right-
The linear power supply would only be charging up those batteries.
Why make it any harder than it has to be?