Most Japanese turntables (Technics, Pioneer, Sony, JVC, etc.) of the Quad era work fine for CD-4. Nearly EVERY brand of QUALITY turntable made from '74 forward will have low capacitance cables. If you have access to specs, as Doug mentioned, you'll know the actual capacitance of the cables. Many turntables have rear panel jacks, rather than dedicated (attached) patch cords. The wire in the tonearm and in the turntable chassis would also require replacement, which are much more involved than replacing a patch cord.
There are other turntable issues that can affect the CD-4 performance. Adequate tracking force is one. Too low a tracking force was often as bad for CD-4 as too heavy, sometimes worse. Either a stylus force gauge or balancing the tonearm so that dead-on horizontal equals 0g are most helpful in calibration. Think of the tonearm as a see-saw.
IF you're using multiple cartridges, be sure to move the counterweight by holding the weight itself. On an S-shaped tonearm, a common mistake is to move it by the disc with the tracking numbers itself. This maneuver completely "uncalibrates" the tonearm. Some cartridges have different physical weights. If there is a significant weight difference, re-calibrating the arm may be necessary each time the cartridges are switched.
Proper alignment can also affect CD-4 performance. An alignment gauge can be extremely helpful. Many turntables included an alignment device. Mofi's Geodisc is an example of an "aftermarket" alignment tool.
A CD-4 calibration disc is also most helpful for CD-4.
These procedures and devices become most helpful if you have little or no experience in setting up turntables.
Back in the day, our sales and support staff most often could get this dead-on without the aid of these devices! The key here was each person setting up dozens, even over 100 turntables per week.