yes.
Maybe this will make it easier to understand why.
Field means the coiled wire that makes an electromagnetic field when electricity flows through.
The regulator on your car controls the electricity going into the that wire. In other words, it controls the hot side.
The other side of the coiled wire is attached to the system ground completing the circuit.
Two field terminals on the later alternators allow the later regulators to control the ground. In other words they open and close the switch to ground allowing or stopping the flow of electricity that creates the spinning magnetic field.
Some people call the two field terminal versions, isolated field terminals. This means both are insulated from ground. This is a better way to understand it.