The best way to explain this is to take a look at some circuit diagrams, and do some math.
![enter image description here](https://i.stack.imgur.com/E1ytA.png)
We know that in a parallel circuit, the voltage across all loads is the same. So we know the voltage across each resistor is 120V, so we can easily calculate the amperage at each resistor.
I=E/R = 120V/1000 ohms = 0.12 amps
Now that we know the current at each resistor, we can find the total current using the following formula.
It = I1 + I2 = 0.12A + 0.12A = 0.24A
We find total resistance in a parallel circuit like this.
Rt = R1 x R2 / (R1 + R2) = 1000ohms x 1000ohms / (1000ohms + 1000ohms) = 1000000 / 2000 = 500 ohms
So Voltage = 120V, Current = 0.24A, and Resistance = 500 ohms on each leg A and B of the of the circuit.
Now if we break (open) the neutral, we have changed the circuit from two 120V parallel circuits to one 240V series circuit. Now we have to change our values, and do some new calculations.
![enter image description here](https://i.stack.imgur.com/xbprE.png)
We can use our total resistance calculations from before, to determine the resistance values for each parallel section of the circuit. We can now say we have a 240V series circuit with two 500ohm resistors, so we'll calculate total resistance by adding the resistances. Lets simplify our diagram.
![enter image description here](https://i.stack.imgur.com/oL8gB.png)
Rt = R1 + R2 = 500ohms + 500ohms = 1000ohms
Next lets calculate the total current.
It = Et / Rt = 240V / 1000ohms = 0.24A
Now we can find the voltage at each combined load.
V1 = It x R1 = 0.24A x 500 ohms = 120V
We can see with a balanced load, we'll still see 120V like normal. But what happens when we have an open nuetral, and an unbalanced load?
![enter image description here](https://i.stack.imgur.com/0x3Qw.png)
Rt1 = 1 / (1/1000 + 1/1000 + 1/1000) = 1 / 0.003 = 333.33ohms
Rt2 = 1 / (1/1000 + 1/1000) = 500ohms
Rt = Rt1 + Rt2 = 333.33ohms + 500 ohms = 833.33ohms
It = 240V / 833.33 = 0.29A
VRt1 = 0.29A x 333.33ohms = 96.6657V
VRt2 = 0.29A X 500 ohms = 145V
As you can see, if you measure hot to neutral on leg A you'll read 96.6657V, while leg B will measure 145V.
What you're seeing is the different characteristics of parallel vs series circuits. In a parallel circuit voltage is constant and amperage varies, however, in a series circuit amperage is constant and voltage varies.
Best Answer
These adapters are using the electrical wire to transmit data over your power wiring. If there is excessive electrical noise surges or droops this can cause packet loss. Installing a whole house surge suppressor could eliminate surges droop is less common in my experiance and many times is caused by bad connections. Power line monitoring may be the only way to find out if it is the power line causing the problem or the quality of the adapters.