I have two GE "White"-labelled tubes from the 1940's:
see my photo.
I described the tint as following: nicer than typical halophosphate cool white, the reds look brighter and the overall rendering is better and somewhat pleasant. It also glows for 1 second when switched off.
In other words, it's warmer (3500K) and somewhat more greenish than halophosphate cool white, with a better colour rendering especially in reds and browns. But it still looks like old fluorescent lighting (it's clearly inferior to triphosphors in terms of colour rendering).
There is also less flickering than halophosphates: the "off" periods are not very dimmer than the "on" periods, and the "off" colour is the same (while the "off" periods are yellow with halophosphates, hence somewhat noticeable).
My tubes are dim, about half the standard flux of modern tubes.
Edit: I've added
a photo with the tubes lit.