Grinding machine with linuxcnc

Goodmorning everyone.
I wanted to ask if you can retrofit a tangential grinding with linuxcnc.
These machines normally have the table axis (x) that oscillates by means of a hydraulic cylinder, so it is not a CNC axis, but managed externally in analogue.
The cnc axes are the Y and the Z, where the Z is the vertical and the Y is the axis that carries the grinding wheel back and forth.
The machine has two diamonds which are used to revive and form the wheel.
The diamond is spherical in shape with a defined radius.
The problem is that if we were to use the g19 plane we could not use the radius compensation g42 or g41 because linuxcnc does not support it.
We could therefore think of using the g18 plane of a cutter and using the X axis instead of the Y, in order to create a g2 x10 y10 r5.
In reality, the X and Z will create the same movement in space as the Y and Z.
What do you think ?

the machine is the one shown in the figure.
The magnetic plane oscillating under the grinding wheel moves from left to right and vice versa hydraulically. The vertical axis should be Z, while the axis that carries the grinding wheel back and forth would be X and using the g18 plane I could perform an arc between x and Z in the direction of X, in order to execute an arc profile on the wheel circumference in the X direction, i.e. from back to front of the wheel thickness, since the diamond will be installed on the right of the oscillating table so as to be at the center of the wheel with the table all on the left.
Stare that the radius compensation in linuxcnc is not implemented on the g19 plan.

If you have the diamond mounted on the work table use a G54 offset after the dress.

All you need is the diamond height in relation to your part.