I am not an electrician and make no claim to be. I am not here to argue terms, and what I was taught in my lifetime, the terms may be different.
I hold an aircraft mechanics lic, and have worked in and around all kinds of equipment and that includes generators.
May be "Neutral" is not called that in the NEC, but most everybody will know to what I am referring. Just as many refer to "buttons" on the dash of an air braked vehicle the tractor protection valve, which is incorrect, I can usually figure out what the are talking about or at least know to ask clarifying questions.
The most difficult thing for the layman to understand, is the correct layout of the bonding point of the ECG and the "neutral". This is esp true when installing a generator and transfer switch.
The center tap on the pole transformer is not ground but is connected to ground. As can be one corner of a Delta three phase (corner grounded Delta).
Whether it is an older term, or a layman's term, "Neutral" is well understood by most.
I will defer to you on what the NEC calls that concept, but the important take a way is the purpose and correct wiring of the the green and white, not so much the terms used.
Ok, I'm done with the terms