Power factor relation with load
It is already what active (continuously tracking the complex power) compensation systems do.


  Furthermore, is it possible to map the device PF x Load curve and
  create a PFC that follows the same curve (even though if you change
  something in the device you have to do it again and considering simple
  devices where there's just a single dial to vary the load)?


It is possible, why not, and also a good idea for few states. If you have a machine with 2 power states, then you need 2 pre-calculated reactance exclusively selected by a simple reactive power detection logic. Or it can even somehow be commutated by the dials on the machine itself.