Still, we should be able to compare a few table/arm/cartridge set-ups with the same amp/speakers and comparable if not necessarily the same phono stages.
That still renders the results misleading. System matching is the crucial element in getting component audio to "sing." Sources, preamps, amps, speakers, and of course the cables in between each. But LP decks are a whole different can of worms. Digital sources generally have nearly the same output impedance and output voltage. You can compare players and music servers pretty much with impunity. You can even then leave these players in place and swap various DACs in and out to look for further improvements.
There is no such equivalent with LP decks. They are truly "analog" electromechanical devices which retrieve the physical source at a microscopic level (the record groove). There's no way to perfectly adjust every aspect of VTF, VTA, azimuth, and tracking angle for every cartridge, and even if you could, there could be various levels of damping fluid for tonearms so equipped, various mats that work well with one but not another, footers, platforms, power cords, cabling. And if you change the phono stage, that by itself doubles the complexity with each swap.