Instrumentation would have been the same as anywhere else...either a common comparison colorimeter like the Lovibond (pretty common by then) or simple daylight (both on the fly methods), neither of which can generate any permanent data. Spectophotometry (which can generate permanent data & doesn't rely on a comparison color standard) was still getting wrinkles ironed out during the war & was barely implemented by war's end (& was a very US kind of technology), so you can forget that
So key to both methods is a color standard for comparison, and one can infer from the US experience that this could have been a cause of color drift of tank color. In the US for example, a ministry would issue a color standard...take prewar OD22 for example. The official standard was about the size of a thumbnail, and limited in quantity. Paint companies couldn't use that for everyday color comparison...they had to produce larger standards to work with, and even more to send to subcontractors. With the color comparison technolgies mentioned above, one stands the chance of introducing color drift with every new batch of color standards produced. And ingredients matter too. Color comparison is made under a very specific set of lighting & geometry to get a pass for production. If you have different ingredients (pigments for example) the chances are more likely than not that metamerism will arise, which means that the color may pass under one set of lighting and/or geometry, but will not match under all the others (to infinity). However, being that specs usually call for only one lighting/geometry, metamerism is pretty much a given, which means that a set of tanks from one factory may look like another set from another factory when viewed from a particular angle, but look different when viewed from many other angles.
So to answer this it would help to find if USSR pigment mines were in the overrun territories or not, and were the comparion color standards made one time at one place, or many times at many places as in the US