There shouldn't be any difference in power consumption between 110v and 220v single phase motors. Intuitively I agree that 3-phase motors could be more efficient, with only 120 deg of separation between peaks in the current. But I sure don't qualify as an advanced electrician wrt power; it's been 25 years since I took that class and I didn't have to pay attention to get an A.
I imagine few of us have three phase power available at home to have to worry about it.