True, it's the same ground wire, but unfortunately, there's no such critter as a zero-impedence conductor. If a ground current exists, that conductor's impedence will cause a voltage difference to occur between one end of the ground wire and the other end. That voltage is your ground-loop hum—even if both devices are plugged into the same ground wire.
True, no argument with that. However, there SHOULDN'T BE any measurable voltage differential - at least not enough to cause hum - between the devices when connected like that - at least not power supply generated. If there is noise, it's probably something else, possible induced by pickup sensitivity, to much gain on a preset or.... ?? <pick something user induced>.
And.. to add to your prior post, I can't repeat this often enough..
NEVER USE A GROUND-LIFTER PLUG ON YOUR GEAR, YOU MIGHT SAVE YOUR LIFE.
Especially if you use tube amps!!! I've posted vehemently on this subject before.. just because it's often a quick-n-dirty solution to ground loops, I see musicians using lifters as part of their rig all the time. On some devices, like the AxeFx, the power consumption is almost nothing. Mostly solid state, etc. But in tube amps, there's a boat load of high voltage roaming around that circuitry and they have HUGE capacitor/condensors inside. In either case,
improperly grounding a device can cause the current/voltage to go to ground thru you - given the right circumstances. It's not the voltage that kills you, it's the current. A FULL 15 amps is a HUGE jolt.. and 1 amp is more than enough to take you out.
To be sure, I've had folks use these on an ongoing basis and tell me they are completely safe and no need to worry. Truth is, it might be fine 9 out of 10, or 99 out of 100 times. But relying on "house power" being perfect is risky. Assuming the wiring is 100%, grounding is good and nothing is wrong is also risky. But the
potential REALLY exists when you use a lifter, and it would really
SERIOUSLY ruin your day if you got killed that one time.
Please do not use them...unless you know what you are doing.