The challenge with this, is that to measure the measurement tool..... you need to know where the current cartridge is at (including its loading etc...), the accuracy of the RIAA (assuming the test record is recorded using RIAA !) - and you have to compensate for every step along the way !!!
Running a 33rpm test record at 45rpm can provide some interesting results - and allows for a cross check of whether some of the frequency variations are recorded (In which case they would move due to the increased rotation speed) or due to the replay chain from cartridge all the way through... (but you need to adjust the RIAA parameters to take into account the frequency shift - assuming it is RIAA recorded)