On my off-Centre records, the pitch instability seems to get worse as the stylus gets to the innermost groove area. Does yours do the same? If it is an off-centre pressing, you will see the cartridge meander back and forth.
I imagine many of your mono recordings are old - or perhaps they were cut during the stereo era on an old lathe and it had speed problems? That would bake the wow and flutter into the vinyl.
I imagine you have checked the motor, and the condition of the pulley and belts?