First consider the relationship between resistance, current and voltage:
V = I x R
In order to find any one of these values the other two need to be known. They can either be controlled or measured. Given the unknown is the resistance (R) we can control the current (I) and measure the voltage (V). Most multimeter operate this way. They control the current (I) and measure the voltage (V) across the unknown resistance (R) and calculate the value of the resistance:
R = V / I
In the real world measuring instruments have an optimal range where they operate well or operate better than in other ranges. It is also best to assume the smaller the current through the unknown resistance the safer the measurement can be carried out. Finally, most modern multimeter are auto ranging meaning they (normally) start with small amounts of current and step up the current over time until the voltage across the resistance falls with in a measurable range for the meter.
Now, consider your case where you are measuring an inductive load. An inductive load by definition will resist any current change. If an auto ranging multimeter is used it can be assumed the current is being adjusted over time to optimize the meter's ability to measure the voltage. However each time the current is change the inductor resists the change. This causes the momentary voltage reading and consequently the reported resistance to take on unexpected values.
(I can not offer an explanation for subsequent resistance measurements of other load. Other than to assume they are also inductors and are behaving similarly to the first inductor you measured.)