Need a refresher on ohms law

Can anyone explain to me why in a DC circuit, such as the winch cabling for example, that both the positive and negative cables are the same gauge?
For example, the winch may draw 300Amps from a 12volt battery, thus it is using 3600watts of power to drive the winch.
Is the same gauge cable from the batt positive, to motor and motor to batt negative required to support the amount of electrons generated by the battery that need to pass from the positive terminal, through the motor and back to the batt negative terminal again?
So there is no difference in flow on both sides of the circuit?
I was thinking that as the electrons travel through the wire and in particular through the motor, a great deal of these become consumed and transferred into power, heat etc. So the amount of electrons from the motor back to the battery has been substantially reduced.
EDIT: Sorry, I think electrons (being negatively charged) travel negative to positive. But current flow is the opposite???