I don't know if that is an issue specific to the MEGA2560, but on other ctesters, I've noticed when I measure several times the same inductor --whithout moving it-- the results differ a little.
No, the testimonies themselves are stable, all meaningful numbers. Indications have more value when connecting the lower output of inductance to the input "1" and less when connecting the upper output of inductance to the entrance "1". The method implemented in sampling_lc.c is very accurate. I only adjust it to the length of the internal compounds of the Mega 2560 in the range of 40 nH - 2 μH.
Here is a fragment from ttester-1.13k en.pdf
"...Together with a parallel connected capacitor the inductor build a resonant circuit. With a
short current pulse this circuit begins to oscillate some times without further stimulation. With the
sampling method the frequency of this oscillation can be measured..."