Auto physical bed leveling?
Automatic bed levelling is not magic; it still requires you to level the bed properly (as level as possible). The upside of automatic bed levelling is that it compensates for small deviations like a slightly slanted surface or a (somewhat large) dent in the surface (as long it is probed and can be digitized by the firmware). It will keep the nozzle at a distance to the bed that it maintains proper distance to the bed for the filament to adhere properly (first layer adherence is key for successful prints). The slight imperfections are smeared out over about 10&nbsp;mm (set in the firmware), this way you do not need transformations for the whole print (so if you deliberately make the bed very skew, the print will follow the Z axis, not the direction perpendicular to the bed).

While systems to level or align the bed exist, it is not very practical and expensive as it requires more parts, that is why it is not commonly used. Apart from the suggested printer in this answer, printers with e.g. 4 ball screw Z movement lead screws exist (mostly printers for companies, not for use at home); ball screws are way more expensive, but also way more accurate than trapezoidal lead screws. A low accuracy is preferable as such systems generally have no guiding linear rods (as that would mean that you fix the plane/alignment of the build platform!).