Try finding a resource that explains the difference between (DC) resistance and reactance without introducing stuff like complex math. I don't have one handy, AllAboutCircuits.com might have a good write-up.
A perfect inductor will have an inductance, but no DC resistance. A DMM set to resistance would measure zero Ohms (it uses DC), but an AC signal will be affected, because it has reactance (AC resistance). The reactance is caused by its inductance, which is measured in Henry. So a perfect inductor might have an inductance of 10 mH but a DC resistance of 0 Ohms.
In the real world, copper wire has a finite resistance. Especially many turns of fairly thin copper wire. This causes a DC resistance in addition to the current. This real inductor might measure 28 Ohms with a DMM (its DC resistance), but still have a 10 mH inductance. A DC signal would see it as a 28 Ohm resistor (since DC is not affected by inductance), but an AC signal will see it as a 28 Ohm resistor with an ideal 10 mH inductor in series (a decent approximation for low frequency work). Both the ideal and the imperfect coil will have the same inductance, but will behave slightly differently because of the difference in DC resistance.
This zener diode tester will deliver a fairly high DC voltage, but limited to a low current. A reverse-biased zener should start conducting as soon as the voltage across it exceeds it nominal voltage (eg. 2.5 V), thereby limiting the voltage across it. If you measure the voltage without a diode across the output, then you should expect to measure a very high voltage. If you measure the same with the zener connected, then the zener might be open circuit.
It looks like the DC resistance of the coil limits the current through it when BD679 is conducting, so you might get a higher maximum voltage/current with a lower series resistance. From the 63v, I would expect the maximum output voltage to be well below 100 V. You could try putting a ~12 Ohm resistor in series with the coil and see if that lowers the voltage.