"dreamchaser" writes:

2. Ground fault breakers have neutral connected to them and then
neutral for circuit connects to the breaker along with the black wire
on the hot terminal. Reason is that the ground fault breaker needs to
monitor the hot to neutral voltage of the circuit and the most
accurate way to do that is by monitoring the individual neutral wire
for the circuit.

No, it's because the GFI breaker wants to monitor the *current* in the
white and black wires. It passes both of them through a small current
transformer. If the output of the current transformer is nearly zero,
then all the current flowing in the black wire is balanced by the
current flowing (in the other direction) in the white wire, none of it
is leaking somewhere else, and all is well. But if there's output from
the current transformer, the black and white wire currents aren't equal,
some of the current is thus finding another path to neutral or ground
(or another hot wire, for that matter) and the GFI trips.

It can't work at all without monitoring white wire current, so the white
wire has to pass through the breaker.

Dave