It’s nice MF is contributing,
I am still unclear as DDK is on his reasoning
12 inch arms have less distortion and tracking error whether you think it’s significant difference or not
12 inch arms which have fixed offset angles and overhang such as some SME models and others, will not be subject to setup error, and thus the issue of bigger set up errors in 12 in arms is mitigated
Both 12 and 9 inch arms have fundamental resonances as they are pivoted
In general these will be a lower frequency in 12 inch arms over 9 inch
We cannot escape that arms resonant and with the same material and design and different length a 9 inch arm will be more rigid
But most properly designed 12 inch arms will not just be scaled up versions of 9 inch arms, though there are some.
12 inch arms will generally have higher moving mass, and therefore more inertia
Although this may be an issue for warped records in the vertical plane , the opposite issue may be true for trackability in the horizontal plane
Also we have to consider that stylus damping by the cartridge tonearm interface plays a role in frequency reproduction of the cartridge , and the loading of the cartridge will effect the stiffness of the system
Finally, we have the fairly overwhelming observations of many serious experienced audiophiles, and some tonearm manufacturers over many decades that the 12 inch sound better, not withstanding the apparently wonderful SAT 9 inch