One of the interesting things about faults on CRT based monitors (and TV's) is that if everything is working well enough, to at least see some kind of image on the CRT face, then you can deduce a very large amount of data about the fault condition.
If the beam from the gun is in focus, at some point at least, you will see a trace that is reasonably well focused and that tells you the electron gun and focus electrode voltages are at least roughly correct and that the CRT's grid and cathode voltages are about right.
Then with the beam deflection by the yoke's coils there is a lot of information to be gained from looking at the geometry of the raster scan. For example looking at the photos the OP posted, the CRT's beam mirrors the exact magnetic field generated by the yoke coils. The Horizontal deflection (width) is about the right width (but notice it is not a stable width....see below for the reason). The vertical amplitude of the scan is reduced and distorted, giving great insight into the fault.
We know that the drive circuitry for the yoke is ok on the other CRT and yoke assembly. Therefore the faulty vertical yoke assembly is loading down the vertical amplifier's output stage (likely shorted turns in one of the vertical coils). Due to this high loading, it causes ripple on the power supply voltage and that is why the width of the horizontal scan is altering during the abnormal vertical scan period, from top to bottom, of the scanning raster.
So, even without the good yoke/crt assembly to compare this with, most likely you will find if you measure the DC resistance of the vertical coils separately (they would normally have about the same DC resistance) you will find that one of those vertical coils will have a significantly lower DC resistance than the other due to shorted turns. Looking at the schematic, for the IIc monitor, as is commonly done, the two vertical coils are wired in series, and the two horizontal coils are in parallel.
So a simple check, with the ohm meter, should confirm, that one of the vertical coil assemblies on the faulty yoke has a substantially lower resistance than the other.