The 120 volt circuit is a Wye connection.
Delta does not send any power through a neutral no matter what the load imbalance is between the legs. That requires a wye circuit.
Much of the electrical noise found on telephone lines etc. comes from the current flowing through neutral from wye circuits. I have seen this voltage as high as 110 volts between neighborhoods. Since telephone pairs are insulated at the customer end but referenced to ground at the central office, this results in 110 volts common mode to ground! In one case I worked with, a telephone worker was killed when the voltage to ground was 180 volts because of neutral voltage drop.
When a neutral carrying high currents is cut, the result is often fires and occasionally deaths. When an unbalanced wye feed has its neutral back to the source, or between legs, cut, the underloaded leg will go overvoltage and the overloaded leg will go undervoltage. Either case will destroy equipment. From a safety standpoint, 3 phase delta is safer and cheaper to deliver than 3 phase wye but we do not live in a three phase world. We have both 3 phase and single phase thus we have wye circuits to deliver the single phase power.