Furthermore, this (probably) only works if you setup the printer in an at least similar way. You can re-level the bed, tighten or loosen any belts, change the nozzle (wear level, material, diameter), change slicer settings, use an entirely different slicer, change the room temperature, humidity, use different filaments, shake/vibrate the printer during the process etc.

At least I find it very unlikely that a 3D printer’s fingerprint wouldn’t be impacted by any of these.