Though late to conversation i think that azimuth is not the holly grail of alignment.
Too much effort with little return but fortunately once there you do not have to look back again. Set and forget.
Overhung, VTA/SRA, VTF, are definitely more important adjustments and should be accurate before any attempt for setting up azimuth. Bias included.
If a system is correctly designed and adjusted then the only source for error regarding azimuth would be any imprecision of the cartridge assembly. So we are trying to correct a faulty product for either stylus or generator, that would require two different settings. Impossible. I choose to check the stylus.
How many incorrectly, by a huge margin, assembled cartridges have you met, that would require so drastic adjustments? Twisting a headshell may help but they can become loose and have slack, so would put azimuth off plus they have to many connections, so finer details would be lost. My understanding is that an arm should not have so much freedom as it would introduce more errors than needed.
A visual set up with the aid of good lighting, magnifying glass or microscope ( much better than shooting macro photos), mirror and a test lp or one with good content of high frequencies would be enough to get you perfectly close (if needed).
Started with wraps and we talk about azimuth, audio is great.