The Coraye's Gamut Viewer can be useful to control the grey balance of your print.
To verify if yours neutral grey is ok, take a measure of grey patches in a grey scale and display its into the Gamut Viewer.
You will see in the 3D graph if grey colors are close of the "L" axis or not.
Below, we can see that grey colors are little bit bluish in the light tone and become reddish in the dark tone, because gray samples drift to the blue then drift to the red.
You can use our RGB image test, the strip RGB or the strip CMYK to control your grey balance.