Before the age of solid state ignition systems, those of us who are old enough, remember ignition coils. These worked via a pinch, although I never heard it called that. Input voltage 12 volts. Output voltage ~10,000 volts. I know that it’s dependent on the relative number of turns in the primary and secondary. But, I don’t think you can use any 4x or 5x the input voltage rule of thumb.
The plasma focus sort-of works as a step-up transformer in that sense. Concentrating magnetic forces.
I know that two of the factors that go into the induced voltage spike are: magnetic field strength and speed of field decay.
Beyond that: proximity of the field, geometry of the objects involved, and of course materials they are made of.
Anything more elaborate than that gets a little above my pay grade.